402705709992 has 384 divisors, whose sum is σ = 1275973171200. Its totient is φ = 118232275968.

The previous prime is 402705709957. The next prime is 402705709993. The reversal of 402705709992 is 299907507204.

402705709992 is a `hidden beast` number, since 40 + 27 + 0 + 570 + 9 + 9 + 9 + 2 = 666.

402705709992 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (402705709993) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52112833 + ... + 52120559.

It is an arithmetic number, because the mean of its divisors is an integer number (3322846800).

Almost surely, 2^402705709992 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 402705709992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637986585600).

402705709992 is an abundant number, since it is smaller than the sum of its proper divisors (873267461208).

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

402705709992 is a wasteful number, since it uses less digits than its factorization.

402705709992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7851 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 402705709992 in words is "four hundred two billion, seven hundred five million, seven hundred nine thousand, nine hundred ninety-two".