402958663680 has 240 divisors, whose sum is σ = 1357308751680. Its totient is φ = 101798903808.

The previous prime is 402958663673. The next prime is 402958663691. The reversal of 402958663680 is 86366859204.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×402958663680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 402958663680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4626292 + ... + 4712588.

It is an arithmetic number, because the mean of its divisors is an integer number (5655453132).

Almost surely, 2^402958663680 is an apocalyptic number.

402958663680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402958663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678654375840).

402958663680 is an abundant number, since it is smaller than the sum of its proper divisors (954350088000).

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

402958663680 is an equidigital number, since it uses as much as digits as its factorization.

402958663680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86352 (or 86326 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 57.

The spelling of 402958663680 in words is "four hundred two billion, nine hundred fifty-eight million, six hundred sixty-three thousand, six hundred eighty".