402765253812 has 144 divisors (see below), whose sum is σ = 1068567012240. Its totient is φ = 127738404864.

The previous prime is 402765253811. The next prime is 402765253853. The reversal of 402765253812 is 218352567204.

402765253812 is a `hidden beast` number, since 40 + 2 + 7 + 6 + 525 + 3 + 81 + 2 = 666.

402765253812 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4949966736 + 397815287076 = 70356^2 + 630726^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402765253811) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162863808 + ... + 162866280.

Almost surely, 2^402765253812 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 402765253812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534283506120).

402765253812 is an abundant number, since it is smaller than the sum of its proper divisors (665801758428).

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

402765253812 is a wasteful number, since it uses less digits than its factorization.

402765253812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4722 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 402765253812 in words is "four hundred two billion, seven hundred sixty-five million, two hundred fifty-three thousand, eight hundred twelve".