404411384832 has 1056 divisors, whose sum is σ = 1450553328000. Its totient is φ = 98991341568.

The previous prime is 404411384821. The next prime is 404411384849. The reversal of 404411384832 is 238483114404.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 2714170294 + ... + 2714170442.

Almost surely, 2^404411384832 is an apocalyptic number.

404411384832 is a gapful number since it is divisible by the number (42) 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 404411384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725276664000).

404411384832 is an abundant number, since it is smaller than the sum of its proper divisors (1046141943168).

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

404411384832 is a wasteful number, since it uses less digits than its factorization.

404411384832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 404411384832 in words is "four hundred four billion, four hundred eleven million, three hundred eighty-four thousand, eight hundred thirty-two".