400000000004 has 72 divisors (see below), whose sum is σ = 803162230080. Its totient is φ = 173850747840.

The previous prime is 399999999977. The next prime is 400000000019.

It is a happy number.

400000000004 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45558887 + ... + 45567665.

Almost surely, 2^400000000004 is an apocalyptic number.

400000000004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400000000004 is an abundant number, since it is smaller than the sum of its proper divisors (403162230076).

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

400000000004 is a wasteful number, since it uses less digits than its factorization.

400000000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12921 (or 12908 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 8.

It can be divided in two parts, 40000000000 and 4, that multiplied together give a square (160000000000 = 400000²).

The spelling of 400000000004 in words is "four hundred billion, four", and thus it is an aban number.