402518516640 has 96 divisors (see below), whose sum is σ = 1268042791680. Its totient is φ = 107329004544.

The previous prime is 402518516639. The next prime is 402518516641. The reversal of 402518516640 is 46615815204.

It is an interprime number because it is at equal distance from previous prime (402518516639) and next prime (402518516641).

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 402518516592 and 402518516601.

It is not an unprimeable number, because it can be changed into a prime (402518516641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6920962 + ... + 6978878.

It is an arithmetic number, because the mean of its divisors is an integer number (13208779080).

Almost surely, 2^402518516640 is an apocalyptic number.

402518516640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402518516640 is an abundant number, since it is smaller than the sum of its proper divisors (865524275040).

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

402518516640 is a wasteful number, since it uses less digits than its factorization.

402518516640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72414 (or 72406 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 402518516640 in words is "four hundred two billion, five hundred eighteen million, five hundred sixteen thousand, six hundred forty".