402935168160 has 1152 divisors, whose sum is σ = 1667143296000. Its totient is φ = 86712975360.

The previous prime is 402935168149. The next prime is 402935168183. The reversal of 402935168160 is 61861539204.

402935168160 is a `hidden beast` number, since 40 + 2 + 93 + 516 + 8 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2024799741 + ... + 2024799939.

It is an arithmetic number, because the mean of its divisors is an integer number (1447173000).

Almost surely, 2^402935168160 is an apocalyptic number.

402935168160 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 402935168160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648000).

402935168160 is an abundant number, since it is smaller than the sum of its proper divisors (1264208127840).

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

402935168160 is a wasteful number, since it uses less digits than its factorization.

402935168160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 402935168160 in words is "four hundred two billion, nine hundred thirty-five million, one hundred sixty-eight thousand, one hundred sixty".