402223056048 has 480 divisors, whose sum is σ = 1290492403200. Its totient is φ = 119845440000.

The previous prime is 402223056017. The next prime is 402223056097. The reversal of 402223056048 is 840650322204.

402223056048 is a `hidden beast` number, since 4 + 0 + 2 + 22 + 30 + 560 + 48 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 1033992238 + ... + 1033992626.

It is an arithmetic number, because the mean of its divisors is an integer number (2688525840).

Almost surely, 2^402223056048 is an apocalyptic number.

402223056048 is a gapful number since it is divisible by the number (48) 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 402223056048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645246201600).

402223056048 is an abundant number, since it is smaller than the sum of its proper divisors (888269347152).

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

402223056048 is a wasteful number, since it uses less digits than its factorization.

402223056048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 402223056048 in words is "four hundred two billion, two hundred twenty-three million, fifty-six thousand, forty-eight".