404917772160 has 512 divisors, whose sum is σ = 1502388518400. Its totient is φ = 91671756800.

The previous prime is 404917772141. The next prime is 404917772239. The reversal of 404917772160 is 61277719404.

It is a happy number.

It is a super-3 number, since 3×404917772160³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47029936 + ... + 47038544.

It is an arithmetic number, because the mean of its divisors is an integer number (2934352575).

Almost surely, 2^404917772160 is an apocalyptic number.

404917772160 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 404917772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751194259200).

404917772160 is an abundant number, since it is smaller than the sum of its proper divisors (1097470746240).

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

404917772160 is a wasteful number, since it uses less digits than its factorization.

404917772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8790 (or 8778 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The spelling of 404917772160 in words is "four hundred four billion, nine hundred seventeen million, seven hundred seventy-two thousand, one hundred sixty".