402995515680 has 432 divisors, whose sum is σ = 1490220897984. Its totient is φ = 102786900480.

The previous prime is 402995515621. The next prime is 402995515687. The reversal of 402995515680 is 86515599204.

402995515680 is a `hidden beast` number, since 4 + 0 + 2 + 9 + 9 + 551 + 5 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (402995515687) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24136135 + ... + 24152825.

It is an arithmetic number, because the mean of its divisors is an integer number (3449585412).

Almost surely, 2^402995515680 is an apocalyptic number.

402995515680 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 402995515680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745110448992).

402995515680 is an abundant number, since it is smaller than the sum of its proper divisors (1087225382304).

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

402995515680 is an equidigital number, since it uses as much as digits as its factorization.

402995515680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16753 (or 16724 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 402995515680 in words is "four hundred two billion, nine hundred ninety-five million, five hundred fifteen thousand, six hundred eighty".