401493672031520 has 144 divisors (see below), whose sum is σ = 964718635870080. Its totient is φ = 157894017080832.

The previous prime is 401493672031489. The next prime is 401493672031559. The reversal of 401493672031520 is 25130276394104.

It is a super-2 number, since 2×401493672031520² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235093337 + ... + 236794983.

It is an arithmetic number, because the mean of its divisors is an integer number (6699434971320).

Almost surely, 2^{401493672031520} is an apocalyptic number.

401493672031520 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 401493672031520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482359317935040).

401493672031520 is an abundant number, since it is smaller than the sum of its proper divisors (563224963838560).

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

401493672031520 is a wasteful number, since it uses less digits than its factorization.

401493672031520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702007 (or 1701896 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 401493672031520 in words is "four hundred one trillion, four hundred ninety-three billion, six hundred seventy-two million, thirty-one thousand, five hundred twenty".