402665276160 has 864 divisors, whose sum is σ = 1677785840640. Its totient is φ = 87170383872.

The previous prime is 402665276159. The next prime is 402665276171. The reversal of 402665276160 is 61672566204.

402665276160 is a `hidden beast` number, since 4 + 0 + 2 + 6 + 6 + 5 + 27 + 616 + 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 95 ways as a sum of consecutive naturals, for example, 198454026 + ... + 198456054.

It is an arithmetic number, because the mean of its divisors is an integer number (1941881760).

Almost surely, 2^402665276160 is an apocalyptic number.

402665276160 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 402665276160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838892920320).

402665276160 is an abundant number, since it is smaller than the sum of its proper divisors (1275120564480).

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

402665276160 is a wasteful number, since it uses less digits than its factorization.

402665276160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 402665276160 in words is "four hundred two billion, six hundred sixty-five million, two hundred seventy-six thousand, one hundred sixty".