401569621282752 has 1792 divisors, whose sum is σ = 1303473413652480. Its totient is φ = 107909480448000.

The previous prime is 401569621282703. The next prime is 401569621282763. The reversal of 401569621282752 is 257282126965104.

It is a super-2 number, since 2×401569621282752² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1001420501752 + ... + 1001420502152.

It is an arithmetic number, because the mean of its divisors is an integer number (727384717440).

Almost surely, 2^{401569621282752} 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 401569621282752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651736706826240).

401569621282752 is an abundant number, since it is smaller than the sum of its proper divisors (901903792369728).

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

401569621282752 is a wasteful number, since it uses less digits than its factorization.

401569621282752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 401569621282752 in words is "four hundred one trillion, five hundred sixty-nine billion, six hundred twenty-one million, two hundred eighty-two thousand, seven hundred fifty-two".