402204932640 has 288 divisors, whose sum is σ = 1572110467200. Its totient is φ = 91726774272.

The previous prime is 402204932627. The next prime is 402204932651. The reversal of 402204932640 is 46239402204.

402204932640 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 0 + 4 + 9 + 3 + 2 + 640 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 402204932595 and 402204932604.

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, 4481487 + ... + 4570353.

It is an arithmetic number, because the mean of its divisors is an integer number (5458716900).

Almost surely, 2^402204932640 is an apocalyptic number.

402204932640 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 402204932640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786055233600).

402204932640 is an abundant number, since it is smaller than the sum of its proper divisors (1169905534560).

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

402204932640 is a wasteful number, since it uses less digits than its factorization.

402204932640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89344 (or 89333 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 402204932640 in words is "four hundred two billion, two hundred four million, nine hundred thirty-two thousand, six hundred forty".