402534993920 has 208 divisors, whose sum is σ = 998465862720. Its totient is φ = 155653373952.

The previous prime is 402534993919. The next prime is 402534993929. The reversal of 402534993920 is 29399435204.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (402534993929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123513251 + ... + 123516509.

Almost surely, 2^402534993920 is an apocalyptic number.

402534993920 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 402534993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499232931360).

402534993920 is an abundant number, since it is smaller than the sum of its proper divisors (595930868800).

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

402534993920 is a wasteful number, since it uses less digits than its factorization.

402534993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3466 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 50.

The spelling of 402534993920 in words is "four hundred two billion, five hundred thirty-four million, nine hundred ninety-three thousand, nine hundred twenty".