402240314400 has 144 divisors (see below), whose sum is σ = 1320879770784. Its totient is φ = 106314772480.

The previous prime is 402240314387. The next prime is 402240314417. The reversal of 402240314400 is 4413042204.

It is a happy number.

It is a super-2 number, since 2×402240314400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470394 + ... + 1012793.

It is an arithmetic number, because the mean of its divisors is an integer number (9172776186).

Almost surely, 2^402240314400 is an apocalyptic number.

402240314400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402240314400 is an abundant number, since it is smaller than the sum of its proper divisors (918639456384).

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

402240314400 is a wasteful number, since it uses less digits than its factorization.

402240314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483323 (or 1483310 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 402240314400 its reverse (4413042204), we get a palindrome (406653356604).

The spelling of 402240314400 in words is "four hundred two billion, two hundred forty million, three hundred fourteen thousand, four hundred".