404959415040 has 432 divisors, whose sum is σ = 1476844125120. Its totient is φ = 102293667840.

The previous prime is 404959415017. The next prime is 404959415099. The reversal of 404959415040 is 40514959404.

404959415040 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 594 + 1 + 50 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17694805 + ... + 17717675.

It is an arithmetic number, because the mean of its divisors is an integer number (3418620660).

Almost surely, 2^404959415040 is an apocalyptic number.

404959415040 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 404959415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738422062560).

404959415040 is an abundant number, since it is smaller than the sum of its proper divisors (1071884710080).

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

404959415040 is a wasteful number, since it uses less digits than its factorization.

404959415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22980 (or 22963 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 404959415040 in words is "four hundred four billion, nine hundred fifty-nine million, four hundred fifteen thousand, forty".