402105710160 has 320 divisors, whose sum is σ = 1726792335360. Its totient is φ = 83554398720.

The previous prime is 402105710159. The next prime is 402105710179. The reversal of 402105710160 is 61017501204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1042512 + ... + 1375151.

It is an arithmetic number, because the mean of its divisors is an integer number (5396226048).

Almost surely, 2^402105710160 is an apocalyptic number.

402105710160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402105710160 is an abundant number, since it is smaller than the sum of its proper divisors (1324686625200).

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

402105710160 is a wasteful number, since it uses less digits than its factorization.

402105710160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417703 (or 2417691 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 402105710160 in words is "four hundred two billion, one hundred five million, seven hundred ten thousand, one hundred sixty".