404910690912 has 864 divisors, whose sum is σ = 1575590032800. Its totient is φ = 100477698048.

The previous prime is 404910690911. The next prime is 404910690917. The reversal of 404910690912 is 219096019404.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×404910690912² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404910690911) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 121629664 + ... + 121632992.

It is an arithmetic number, because the mean of its divisors is an integer number (1823599575).

Almost surely, 2^404910690912 is an apocalyptic number.

404910690912 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 404910690912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787795016400).

404910690912 is an abundant number, since it is smaller than the sum of its proper divisors (1170679341888).

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

404910690912 is a wasteful number, since it uses less digits than its factorization.

404910690912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3405 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 404910690912 in words is "four hundred four billion, nine hundred ten million, six hundred ninety thousand, nine hundred twelve".