84008404440400 has 60 divisors (see below), whose sum is σ = 220178390922144. Its totient is φ = 30548510704000.

The previous prime is 84008404440283. The next prime is 84008404440449. The reversal of 84008404440400 is 404440480048.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9546405196 + ... + 9546413995.

Almost surely, 2^{84008404440400} is an apocalyptic number.

84008404440400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84008404440400 is an abundant number, since it is smaller than the sum of its proper divisors (136169986481744).

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

84008404440400 is a wasteful number, since it uses less digits than its factorization.

84008404440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19092819220 (or 19092819209 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 84008404440400 in words is "eighty-four trillion, eight billion, four hundred four million, four hundred forty thousand, four hundred".