402768607000 has 96 divisors (see below), whose sum is σ = 1001180344320. Its totient is φ = 151630425600.

The previous prime is 402768606991. The next prime is 402768607019. The reversal of 402768607000 is 706867204.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 407832 + ... + 985831.

It is an arithmetic number, because the mean of its divisors is an integer number (10428961920).

Almost surely, 2^402768607000 is an apocalyptic number.

402768607000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402768607000 is an abundant number, since it is smaller than the sum of its proper divisors (598411737320).

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

402768607000 is a wasteful number, since it uses less digits than its factorization.

402768607000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393718 (or 1393687 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 402768607000 in words is "four hundred two billion, seven hundred sixty-eight million, six hundred seven thousand".