402044038201520 has 320 divisors, whose sum is σ = 1119781679385600. Its totient is φ = 132300165304320.

The previous prime is 402044038201459. The next prime is 402044038201571. The reversal of 402044038201520 is 25102830440204.

It is a super-2 number, since 2×402044038201520² (a number of 30 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 763093541 + ... + 763620219.

It is an arithmetic number, because the mean of its divisors is an integer number (3499317748080).

Almost surely, 2^{402044038201520} is an apocalyptic number.

402044038201520 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 402044038201520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559890839692800).

402044038201520 is an abundant number, since it is smaller than the sum of its proper divisors (717737641184080).

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

402044038201520 is a wasteful number, since it uses less digits than its factorization.

402044038201520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528028 (or 528022 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 402044038201520 its reverse (25102830440204), we get a palindrome (427146868641724).

The spelling of 402044038201520 in words is "four hundred two trillion, forty-four billion, thirty-eight million, two hundred one thousand, five hundred twenty".