404989316044560 has 480 divisors, whose sum is σ = 1548593662412160. Its totient is φ = 94026795466752.

The previous prime is 404989316044559. The next prime is 404989316044561. The reversal of 404989316044560 is 65440613989404.

It is a happy number.

404989316044560 is a `hidden beast` number, since 4 + 0 + 4 + 9 + 8 + 9 + 3 + 1 + 60 + 4 + 4 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (404989316044559) and next prime (404989316044561).

It is a super-2 number, since 2×404989316044560² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (404989316044561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35353672 + ... + 45385688.

It is an arithmetic number, because the mean of its divisors is an integer number (3226236796692).

Almost surely, 2^{404989316044560} is an apocalyptic number.

404989316044560 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 404989316044560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774296831206080).

404989316044560 is an abundant number, since it is smaller than the sum of its proper divisors (1143604346367600).

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

404989316044560 is a wasteful number, since it uses less digits than its factorization.

404989316044560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032295 (or 10032286 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 404989316044560 in words is "four hundred four trillion, nine hundred eighty-nine billion, three hundred sixteen million, forty-four thousand, five hundred sixty".