402330404334420 has 480 divisors, whose sum is σ = 1305288265881600. Its totient is φ = 103632228817920.

The previous prime is 402330404334413. The next prime is 402330404334461. The reversal of 402330404334420 is 24433404033204.

402330404334420 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 304 + 0 + 4 + 3 + 344 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71171128314 + ... + 71171133966.

It is an arithmetic number, because the mean of its divisors is an integer number (2719350553920).

Almost surely, 2^{402330404334420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402330404334420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652644132940800).

402330404334420 is an abundant number, since it is smaller than the sum of its proper divisors (902957861547180).

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

402330404334420 is a wasteful number, since it uses less digits than its factorization.

402330404334420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8117 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 402330404334420 its reverse (24433404033204), we get a palindrome (426763808367624).

The spelling of 402330404334420 in words is "four hundred two trillion, three hundred thirty billion, four hundred four million, three hundred thirty-four thousand, four hundred twenty".