401814528752 has 160 divisors (see below), whose sum is σ = 991923179520. Its totient is φ = 153389998080.

The previous prime is 401814528751. The next prime is 401814528757. The reversal of 401814528752 is 257825418104.

It is a super-2 number, since 2×401814528752² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 401814528697 and 401814528706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401814528751) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15920399 + ... + 15945617.

It is an arithmetic number, because the mean of its divisors is an integer number (6199519872).

Almost surely, 2^401814528752 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 401814528752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495961589760).

401814528752 is an abundant number, since it is smaller than the sum of its proper divisors (590108650768).

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

401814528752 is a wasteful number, since it uses less digits than its factorization.

401814528752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25631 (or 25625 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 47.

The spelling of 401814528752 in words is "four hundred one billion, eight hundred fourteen million, five hundred twenty-eight thousand, seven hundred fifty-two".