402044518656 has 1296 divisors, whose sum is σ = 1480115669760. Its totient is φ = 107614863360.

The previous prime is 402044518643. The next prime is 402044518679. The reversal of 402044518656 is 656815440204.

It is a happy number.

402044518656 is a `hidden beast` number, since 4 + 0 + 20 + 445 + 186 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-3 number, since 3×402044518656³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3757425355 + ... + 3757425461.

It is an arithmetic number, because the mean of its divisors is an integer number (1142064560).

Almost surely, 2^402044518656 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 402044518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740057834880).

402044518656 is an abundant number, since it is smaller than the sum of its proper divisors (1078071151104).

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

402044518656 is a wasteful number, since it uses less digits than its factorization.

402044518656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 402044518656 in words is "four hundred two billion, forty-four million, five hundred eighteen thousand, six hundred fifty-six".