402822350605656 has 1280 divisors, whose sum is σ = 1293010362040320. Its totient is φ = 116538476544000.

The previous prime is 402822350605643. The next prime is 402822350605663. The reversal of 402822350605656 is 656506053228204.

402822350605656 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 2 + 23 + 5 + 0 + 605 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×402822350605656² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 113759487246 + ... + 113759490786.

It is an arithmetic number, because the mean of its divisors is an integer number (1010164345344).

Almost surely, 2^{402822350605656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402822350605656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646505181020160).

402822350605656 is an abundant number, since it is smaller than the sum of its proper divisors (890188011434664).

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

402822350605656 is a wasteful number, since it uses less digits than its factorization.

402822350605656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 402822350605656 in words is "four hundred two trillion, eight hundred twenty-two billion, three hundred fifty million, six hundred five thousand, six hundred fifty-six".