400074087424 has 176 divisors, whose sum is σ = 898063770240. Its totient is φ = 176591421440.

The previous prime is 400074087389. The next prime is 400074087431. The reversal of 400074087424 is 424780470004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (176).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55156182 + ... + 55163434.

Almost surely, 2^400074087424 is an apocalyptic number.

400074087424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400074087424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449031885120).

400074087424 is an abundant number, since it is smaller than the sum of its proper divisors (497989682816).

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

400074087424 is a wasteful number, since it uses less digits than its factorization.

400074087424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7426 (or 7408 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 40.

The spelling of 400074087424 in words is "four hundred billion, seventy-four million, eighty-seven thousand, four hundred twenty-four".