402444004056 has 64 divisors (see below), whose sum is σ = 1032876472320. Its totient is φ = 130593281280.

The previous prime is 402444004051. The next prime is 402444004069. The reversal of 402444004056 is 650400444204.

It is a super-2 number, since 2×402444004056² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402444004051) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 13921 + ... + 897263.

It is an arithmetic number, because the mean of its divisors is an integer number (16138694880).

Almost surely, 2^402444004056 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 402444004056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516438236160).

402444004056 is an abundant number, since it is smaller than the sum of its proper divisors (630432468264).

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

402444004056 is a wasteful number, since it uses less digits than its factorization.

402444004056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883856 (or 883852 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

The spelling of 402444004056 in words is "four hundred two billion, four hundred forty-four million, four thousand, fifty-six".