402442113024 has 624 divisors, whose sum is σ = 1416820204800. Its totient is φ = 107442339840.

The previous prime is 402442112987. The next prime is 402442113049. The reversal of 402442113024 is 420311244204.

402442113024 is a `hidden beast` number, since 402 + 44 + 211 + 3 + 0 + 2 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872976154 + ... + 872976614.

It is an arithmetic number, because the mean of its divisors is an integer number (2270545200).

Almost surely, 2^402442113024 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 402442113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708410102400).

402442113024 is an abundant number, since it is smaller than the sum of its proper divisors (1014378091776).

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

402442113024 is a wasteful number, since it uses less digits than its factorization.

402442113024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 402442113024 its reverse (420311244204), we get a palindrome (822753357228).

The spelling of 402442113024 in words is "four hundred two billion, four hundred forty-two million, one hundred thirteen thousand, twenty-four".