402640342400 has 96 divisors (see below), whose sum is σ = 1002241243080. Its totient is φ = 159826534400.

The previous prime is 402640342393. The next prime is 402640342421. The reversal of 402640342400 is 4243046204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61049 + ... + 899448.

Almost surely, 2^402640342400 is an apocalyptic number.

402640342400 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 402640342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501120621540).

402640342400 is an abundant number, since it is smaller than the sum of its proper divisors (599600900680).

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

402640342400 is a wasteful number, since it uses less digits than its factorization.

402640342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960652 (or 960635 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 402640342400 its reverse (4243046204), we get a palindrome (406883388604).

The spelling of 402640342400 in words is "four hundred two billion, six hundred forty million, three hundred forty-two thousand, four hundred".