4004080008400 has 30 divisors (see below), whose sum is σ = 9619802221142. Its totient is φ = 1601632003200.

The previous prime is 4004080008391. The next prime is 4004080008407. The reversal of 4004080008400 is 48000804004.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 56594506816 + 3947485501584 = 237896^2 + 1986828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4004080008407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5005099611 + ... + 5005100410.

Almost surely, 2^{4004080008400} is an apocalyptic number.

4004080008400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004080008400 is an abundant number, since it is smaller than the sum of its proper divisors (5615722212742).

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

4004080008400 is a wasteful number, since it uses less digits than its factorization.

4004080008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10010200039 (or 10010200028 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The spelling of 4004080008400 in words is "four trillion, four billion, eighty million, eight thousand, four hundred".