4000400624 has 40 divisors (see below), whose sum is σ = 8581617408. Its totient is φ = 1791218880.

The previous prime is 4000400561. The next prime is 4000400633. The reversal of 4000400624 is 4260040004.

4000400624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4000400596 and 4000400605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157832 + ... + 181415.

Almost surely, 2^4000400624 is an apocalyptic number.

4000400624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4000400624 is an abundant number, since it is smaller than the sum of its proper divisors (4581216784).

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

4000400624 is a wasteful number, since it uses less digits than its factorization.

4000400624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339333 (or 339327 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4000400624 is about 63248.7203348811. The cubic root of 4000400624 is about 1587.4540461123.

Adding to 4000400624 its reverse (4260040004), we get a palindrome (8260440628).

The spelling of 4000400624 in words is "four billion, four hundred thousand, six hundred twenty-four".