402774077160 has 768 divisors, whose sum is σ = 1717567488000. Its totient is φ = 79479429120.

The previous prime is 402774077159. The next prime is 402774077161. The reversal of 402774077160 is 61770477204.

It is an interprime number because it is at equal distance from previous prime (402774077159) and next prime (402774077161).

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

It is not an unprimeable number, because it can be changed into a prime (402774077161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49168665 + ... + 49176855.

It is an arithmetic number, because the mean of its divisors is an integer number (2236416000).

Almost surely, 2^402774077160 is an apocalyptic number.

402774077160 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 402774077160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858783744000).

402774077160 is an abundant number, since it is smaller than the sum of its proper divisors (1314793410840).

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

402774077160 is a wasteful number, since it uses less digits than its factorization.

402774077160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8326 (or 8319 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 402774077160 in words is "four hundred two billion, seven hundred seventy-four million, seventy-seven thousand, one hundred sixty".