402875521984512 has 576 divisors, whose sum is σ = 1301762936859840. Its totient is φ = 124007421837312.

The previous prime is 402875521984501. The next prime is 402875521984519. The reversal of 402875521984512 is 215489125578204.

It is a happy number.

402875521984512 is a `hidden beast` number, since 4 + 0 + 2 + 8 + 7 + 5 + 5 + 21 + 98 + 4 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 402875521984512.

It is not an unprimeable number, because it can be changed into a prime (402875521984519) 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, 447946023 + ... + 448844505.

It is an arithmetic number, because the mean of its divisors is an integer number (2260005098715).

Almost surely, 2^{402875521984512} 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 402875521984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650881468429920).

402875521984512 is an abundant number, since it is smaller than the sum of its proper divisors (898887414875328).

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

402875521984512 is an equidigital number, since it uses as much as digits as its factorization.

402875521984512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898590 (or 898558 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 402875521984512 in words is "four hundred two trillion, eight hundred seventy-five billion, five hundred twenty-one million, nine hundred eighty-four thousand, five hundred twelve".