402433304200400 has 240 divisors, whose sum is σ = 1093972890503808. Its totient is φ = 140974513920000.

The previous prime is 402433304200339. The next prime is 402433304200441. The reversal of 402433304200400 is 4002403334204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4205429 + ... + 28680171.

Almost surely, 2^{402433304200400} is an apocalyptic number.

402433304200400 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 402433304200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546986445251904).

402433304200400 is an abundant number, since it is smaller than the sum of its proper divisors (691539586303408).

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

402433304200400 is a wasteful number, since it uses less digits than its factorization.

402433304200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24474910 (or 24474899 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 29.

Adding to 402433304200400 its reverse (4002403334204), we get a palindrome (406435707534604).

The spelling of 402433304200400 in words is "four hundred two trillion, four hundred thirty-three billion, three hundred four million, two hundred thousand, four hundred".