402052436016 has 640 divisors, whose sum is σ = 1382311526400. Its totient is φ = 97649664000.

The previous prime is 402052435991. The next prime is 402052436059. The reversal of 402052436016 is 610634250204.

It is a super-2 number, since 2×402052436016² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 839357665 + ... + 839358143.

It is an arithmetic number, because the mean of its divisors is an integer number (2159861760).

Almost surely, 2^402052436016 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 402052436016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691155763200).

402052436016 is an abundant number, since it is smaller than the sum of its proper divisors (980259090384).

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

402052436016 is a wasteful number, since it uses less digits than its factorization.

402052436016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 402052436016 in words is "four hundred two billion, fifty-two million, four hundred thirty-six thousand, sixteen".