402796838880 has 288 divisors, whose sum is σ = 1427199437664. Its totient is φ = 107280930816.

The previous prime is 402796838819. The next prime is 402796838903. The reversal of 402796838880 is 88838697204.

402796838880 is a `hidden beast` number, since 402 + 79 + 6 + 8 + 3 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34091854 + ... + 34103666.

It is an arithmetic number, because the mean of its divisors is an integer number (4955553603).

Almost surely, 2^402796838880 is an apocalyptic number.

402796838880 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 402796838880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713599718832).

402796838880 is an abundant number, since it is smaller than the sum of its proper divisors (1024402598784).

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

402796838880 is a wasteful number, since it uses less digits than its factorization.

402796838880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12720 (or 12700 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 402796838880 in words is "four hundred two billion, seven hundred ninety-six million, eight hundred thirty-eight thousand, eight hundred eighty".