402518268672 has 288 divisors, whose sum is σ = 1223882053632. Its totient is φ = 116344553472.

The previous prime is 402518268661. The next prime is 402518268697. The reversal of 402518268672 is 276862815204.

It is a super-2 number, since 2×402518268672² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103022943 + ... + 103026849.

It is an arithmetic number, because the mean of its divisors is an integer number (4249590464).

Almost surely, 2^402518268672 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 402518268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611941026816).

402518268672 is an abundant number, since it is smaller than the sum of its proper divisors (821363784960).

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

402518268672 is a wasteful number, since it uses less digits than its factorization.

402518268672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4563 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 402518268672 in words is "four hundred two billion, five hundred eighteen million, two hundred sixty-eight thousand, six hundred seventy-two".