402324144400 has 60 divisors (see below), whose sum is σ = 966693659764. Its totient is φ = 160911360000.

The previous prime is 402324144359. The next prime is 402324144421. The reversal of 402324144400 is 4441423204.

It can be written as a sum of positive squares in 6 ways, for example, as 14902549776 + 387421594624 = 122076^2 + 622432^2 .

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, 3788020 + ... + 3892780.

Almost surely, 2^402324144400 is an apocalyptic number.

402324144400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

402324144400 is an abundant number, since it is smaller than the sum of its proper divisors (564369515364).

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

402324144400 is a wasteful number, since it uses less digits than its factorization.

402324144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114380 (or 114369 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 402324144400 its reverse (4441423204), we get a palindrome (406765567604).

The spelling of 402324144400 in words is "four hundred two billion, three hundred twenty-four million, one hundred forty-four thousand, four hundred".