404791934976 has 960 divisors, whose sum is σ = 1444474214400. Its totient is φ = 111795240960.

The previous prime is 404791934971. The next prime is 404791934999. The reversal of 404791934976 is 679439197404.

404791934976 is a `hidden beast` number, since 4 + 0 + 479 + 1 + 93 + 4 + 9 + 76 = 666.

It is a super-2 number, since 2×404791934976² (a number of 24 digits) contains 22 as substring.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (404791934971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5123948505 + ... + 5123948583.

It is an arithmetic number, because the mean of its divisors is an integer number (1504660640).

Almost surely, 2^404791934976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404791934976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722237107200).

404791934976 is an abundant number, since it is smaller than the sum of its proper divisors (1039682279424).

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

404791934976 is an frugal number, since it uses more digits than its factorization.

404791934976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 404791934976 in words is "four hundred four billion, seven hundred ninety-one million, nine hundred thirty-four thousand, nine hundred seventy-six".