4020410400 has 144 divisors (see below), whose sum is σ = 13333771584. Its totient is φ = 1051847680.

The previous prime is 4020410399. The next prime is 4020410411. The reversal of 4020410400 is 40140204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4020410400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111397 + ... + 143003.

It is an arithmetic number, because the mean of its divisors is an integer number (92595636).

Almost surely, 2^4020410400 is an apocalyptic number.

4020410400 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 4020410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666885792).

4020410400 is an abundant number, since it is smaller than the sum of its proper divisors (9313361184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4020410400 is a wasteful number, since it uses less digits than its factorization.

4020410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31683 (or 31670 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4020410400 is about 63406.7062699207. The cubic root of 4020410400 is about 1590.0964302103.

Adding to 4020410400 its reverse (40140204), we get a palindrome (4060550604).

The spelling of 4020410400 in words is "four billion, twenty million, four hundred ten thousand, four hundred".