402331304000 has 112 divisors (see below), whose sum is σ = 999924874416. Its totient is φ = 160358912000.

The previous prime is 402331303943. The next prime is 402331304009. The reversal of 402331304000 is 403133204.

It can be written as a sum of positive squares in 8 ways, for example, as 179728515136 + 222602788864 = 423944^2 + 471808^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (402331304009) 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, 2158514 + ... + 2337486.

Almost surely, 2^402331304000 is an apocalyptic number.

402331304000 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 402331304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499962437208).

402331304000 is an abundant number, since it is smaller than the sum of its proper divisors (597593570416).

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

402331304000 is a wasteful number, since it uses less digits than its factorization.

402331304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179281 (or 179261 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 402331304000 its reverse (403133204), we get a palindrome (402734437204).

The spelling of 402331304000 in words is "four hundred two billion, three hundred thirty-one million, three hundred four thousand".