404253316080000 has 4800 divisors, whose sum is σ = 1685676518658000. Its totient is φ = 95974502400000.

The previous prime is 404253316079959. The next prime is 404253316080013. The reversal of 404253316080000 is 80613352404.

404253316080000 is a `hidden beast` number, since 4 + 0 + 42 + 5 + 3 + 3 + 1 + 608 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 599 ways as a sum of consecutive naturals, for example, 4002508079950 + ... + 4002508080050.

Almost surely, 2^{404253316080000} is an apocalyptic number.

404253316080000 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 404253316080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842838259329000).

404253316080000 is an abundant number, since it is smaller than the sum of its proper divisors (1281423202578000).

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

404253316080000 is a wasteful number, since it uses less digits than its factorization.

404253316080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 404253316080000 in words is "four hundred four trillion, two hundred fifty-three billion, three hundred sixteen million, eighty thousand".