404512027920000 has 5120 divisors, whose sum is σ = 2036561451724800. Its totient is φ = 76291891200000.

The previous prime is 404512027919981. The next prime is 404512027920029. The reversal of 404512027920000 is 29720215404.

404512027920000 is a `hidden beast` number, since 404 + 5 + 1 + 20 + 27 + 9 + 200 + 0 + 0 = 666.

It is a super-3 number, since 3×404512027920000³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 131891758467 + ... + 131891761533.

It is an arithmetic number, because the mean of its divisors is an integer number (397765908540).

Almost surely, 2^{404512027920000} is an apocalyptic number.

404512027920000 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 404512027920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018280725862400).

404512027920000 is an abundant number, since it is smaller than the sum of its proper divisors (1632049423804800).

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

404512027920000 is a wasteful number, since it uses less digits than its factorization.

404512027920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3169 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 404512027920000 in words is "four hundred four trillion, five hundred twelve billion, twenty-seven million, nine hundred twenty thousand".