402074757666720 has 1440 divisors, whose sum is σ = 1558783664000640. Its totient is φ = 97321056768000.

The previous prime is 402074757666709. The next prime is 402074757666737. The reversal of 402074757666720 is 27666757470204.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×402074757666720² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23900292229 + ... + 23900309051.

It is an arithmetic number, because the mean of its divisors is an integer number (1082488655556).

Almost surely, 2^{402074757666720} is an apocalyptic number.

402074757666720 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 402074757666720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779391832000320).

402074757666720 is an abundant number, since it is smaller than the sum of its proper divisors (1156708906333920).

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

402074757666720 is a wasteful number, since it uses less digits than its factorization.

402074757666720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17032 (or 16984 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 63.

The spelling of 402074757666720 in words is "four hundred two trillion, seventy-four billion, seven hundred fifty-seven million, six hundred sixty-six thousand, seven hundred twenty".