402232743200 has 162 divisors, whose sum is σ = 1043901676251. Its totient is φ = 151313991680.

The previous prime is 402232743191. The next prime is 402232743259. The reversal of 402232743200 is 2347232204.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 261910579984 + 140322163216 = 511772^2 + 374596^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=448460.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 304952141 + ... + 304953459.

Almost surely, 2^402232743200 is an apocalyptic number.

402232743200 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 402232743200

402232743200 is an abundant number, since it is smaller than the sum of its proper divisors (641668933051).

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

402232743200 is an equidigital number, since it uses as much as digits as its factorization.

402232743200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 29.

Adding to 402232743200 its reverse (2347232204), we get a palindrome (404579975404).

The spelling of 402232743200 in words is "four hundred two billion, two hundred thirty-two million, seven hundred forty-three thousand, two hundred".