4000434400 has 36 divisors (see below), whose sum is σ = 9766062432. Its totient is φ = 1600173440.

The previous prime is 4000434391. The next prime is 4000434461. The reversal of 4000434400 is 44340004.

4000434400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×4000434400⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2499472 + ... + 2501071.

It is an arithmetic number, because the mean of its divisors is an integer number (271279512).

Almost surely, 2^4000434400 is an apocalyptic number.

4000434400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000434400 is an abundant number, since it is smaller than the sum of its proper divisors (5765628032).

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

4000434400 is a wasteful number, since it uses less digits than its factorization.

4000434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000563 (or 5000550 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 4000434400 is about 63248.9873436722. The cubic root of 4000434400 is about 1587.4585138062.

Adding to 4000434400 its reverse (44340004), we get a palindrome (4044774404).

The spelling of 4000434400 in words is "four billion, four hundred thirty-four thousand, four hundred".