402333122422400 has 384 divisors, whose sum is σ = 1108103933059200. Its totient is φ = 143320586895360.

The previous prime is 402333122422339. The next prime is 402333122422417. The reversal of 402333122422400 is 4224221333204.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1571811227 + ... + 1572067173.

It is an arithmetic number, because the mean of its divisors is an integer number (2885687325675).

Almost surely, 2^{402333122422400} is an apocalyptic number.

402333122422400 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 402333122422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554051966529600).

402333122422400 is an abundant number, since it is smaller than the sum of its proper divisors (705770810636800).

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

402333122422400 is a wasteful number, since it uses less digits than its factorization.

402333122422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257316 (or 257299 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 402333122422400 its reverse (4224221333204), we get a palindrome (406557343755604).

The spelling of 402333122422400 in words is "four hundred two trillion, three hundred thirty-three billion, one hundred twenty-two million, four hundred twenty-two thousand, four hundred".