4001450400 has 216 divisors, whose sum is σ = 14163405984. Its totient is φ = 1063027200.

The previous prime is 4001450393. The next prime is 4001450449. The reversal of 4001450400 is 40541004.

It is a super-3 number, since 3×4001450400³ (a number of 30 digits) contains 333 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2238307 + ... + 2240093.

It is an arithmetic number, because the mean of its divisors is an integer number (65571324).

Almost surely, 2^4001450400 is an apocalyptic number.

4001450400 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 4001450400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7081702992).

4001450400 is an abundant number, since it is smaller than the sum of its proper divisors (10161955584).

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

4001450400 is a wasteful number, since it uses less digits than its factorization.

4001450400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4001450400 is about 63257.0185829209. The cubic root of 4001450400 is about 1587.5928926567.

Adding to 4001450400 its reverse (40541004), we get a palindrome (4041991404).

The spelling of 4001450400 in words is "four billion, one million, four hundred fifty thousand, four hundred".