404527842951680 has 960 divisors, whose sum is σ = 1221780773347200. Its totient is φ = 127631944581120.

The previous prime is 404527842951649. The next prime is 404527842951709. The reversal of 404527842951680 is 86159248725404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58113463400 + ... + 58113470360.

It is an arithmetic number, because the mean of its divisors is an integer number (1272688305570).

Almost surely, 2^{404527842951680} is an apocalyptic number.

404527842951680 is a gapful number since it is divisible by the number (40) 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 404527842951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610890386673600).

404527842951680 is an abundant number, since it is smaller than the sum of its proper divisors (817252930395520).

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

404527842951680 is a wasteful number, since it uses less digits than its factorization.

404527842951680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7713 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 65.

The spelling of 404527842951680 in words is "four hundred four trillion, five hundred twenty-seven billion, eight hundred forty-two million, nine hundred fifty-one thousand, six hundred eighty".