| Base | Representation |
|---|---|
| bin | 1110111101010000… |
| … | …1010011110010000 |
| 3 | 101100211000012000000 |
| 4 | 3233110022132100 |
| 5 | 31210322243100 |
| 6 | 1502224130000 |
| 7 | 201332165100 |
| oct | 35724123620 |
| 9 | 11324005000 |
| 10 | 4015040400 |
| 11 | 1780427308 |
| 12 | 940766900 |
| 13 | 4bca89567 |
| 14 | 2a134b200 |
| 15 | 187746900 |
| hex | ef50a790 |
4015040400 has 630 divisors, whose sum is σ = 16883695602. Its totient is φ = 914457600.
The previous prime is 4015040383. The next prime is 4015040411. The reversal of 4015040400 is 40405104.
4015040400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in 3 ways, for example, as 448084224 + 3566956176 = 21168^2 + 59724^2 .
It is a tau number, because it is divible by the number of its divisors (630).
It is a super-2 number, since 2×40150404002 = 32241098827264320000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 14288260 + ... + 14288540.
Almost surely, 24015040400 is an apocalyptic number.
4015040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4015040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8441847801).
4015040400 is an abundant number, since it is smaller than the sum of its proper divisors (12868655202).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4015040400 is a wasteful number, since it uses less digits than its factorization.
4015040400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 331 (or 298 counting only the distinct ones).
The product of its (nonzero) digits is 320, while the sum is 18.
The square root of 4015040400 is about 63364.3464418280. The cubic root of 4015040400 is about 1589.3881590368.
Adding to 4015040400 its reverse (40405104), we get a palindrome (4055445504).
The spelling of 4015040400 in words is "four billion, fifteen million, forty thousand, four hundred".
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