4000400008 has 32 divisors (see below), whose sum is σ = 8316789120. Its totient is φ = 1788552000.

The previous prime is 4000399981. The next prime is 4000400023. The reversal of 4000400008 is 8000040004.

It is a junction number, because it is equal to n+sod(n) for n = 4000399964 and 4000400000.

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, 367248 + ... + 377983.

It is an arithmetic number, because the mean of its divisors is an integer number (259899660).

Almost surely, 2^4000400008 is an apocalyptic number.

It is an amenable number.

4000400008 is an abundant number, since it is smaller than the sum of its proper divisors (4316389112).

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

4000400008 is a wasteful number, since it uses less digits than its factorization.

4000400008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745309 (or 745305 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4000400008 is about 63248.7154652172. The cubic root of 4000400008 is about 1587.4539646311.

The spelling of 4000400008 in words is "four billion, four hundred thousand, eight".