402291822240 has 768 divisors, whose sum is σ = 1779609968640. Its totient is φ = 82443018240.

The previous prime is 402291822217. The next prime is 402291822337. The reversal of 402291822240 is 42228192204.

402291822240 is a `hidden beast` number, since 402 + 2 + 9 + 1 + 8 + 2 + 2 + 240 = 666.

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 = 402291822195 and 402291822204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24274437 + ... + 24291003.

It is an arithmetic number, because the mean of its divisors is an integer number (2317200480).

Almost surely, 2^402291822240 is an apocalyptic number.

402291822240 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 402291822240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889804984320).

402291822240 is an abundant number, since it is smaller than the sum of its proper divisors (1377318146400).

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

402291822240 is a wasteful number, since it uses less digits than its factorization.

402291822240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16682 (or 16668 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 402291822240 in words is "four hundred two billion, two hundred ninety-one million, eight hundred twenty-two thousand, two hundred forty".