402291731952 has 200 divisors, whose sum is σ = 1314000206640. Its totient is φ = 117702789120.

The previous prime is 402291731951. The next prime is 402291731977. The reversal of 402291731952 is 259137192204.

402291731952 is a `hidden beast` number, since 40 + 2 + 291 + 7 + 319 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 402291731898 and 402291731907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402291731951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73113 + ... + 899960.

Almost surely, 2^402291731952 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 402291731952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657000103320).

402291731952 is an abundant number, since it is smaller than the sum of its proper divisors (911708474688).

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

402291731952 is a wasteful number, since it uses less digits than its factorization.

402291731952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973133 (or 973118 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 402291731952 in words is "four hundred two billion, two hundred ninety-one million, seven hundred thirty-one thousand, nine hundred fifty-two".