4032512400 has 120 divisors (see below), whose sum is σ = 14762866624. Its totient is φ = 921715200.

The previous prime is 4032512383. The next prime is 4032512423. The reversal of 4032512400 is 42152304.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4032512400² = 32522312512307520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 23 ways as a sum of consecutive naturals, for example, 231631 + ... + 248430.

Almost surely, 2^4032512400 is an apocalyptic number.

4032512400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4032512400 is an abundant number, since it is smaller than the sum of its proper divisors (10730354224).

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

4032512400 is a wasteful number, since it uses less digits than its factorization.

4032512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480089 (or 480078 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 4032512400 is about 63502.0661081197. The cubic root of 4032512400 is about 1591.6903032164.

Adding to 4032512400 its reverse (42152304), we get a palindrome (4074664704).

It can be divided in two parts, 40325 and 12400, that added together give a palindrome (52725).

The spelling of 4032512400 in words is "four billion, thirty-two million, five hundred twelve thousand, four hundred".