401631745728 has 112 divisors (see below), whose sum is σ = 1084442738400. Its totient is φ = 131156434944.

The previous prime is 401631745649. The next prime is 401631745729. The reversal of 401631745728 is 827547136104.

It is a super-2 number, since 2×401631745728² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (401631745729) 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 15 ways as a sum of consecutive naturals, for example, 1992226 + ... + 2184542.

It is an arithmetic number, because the mean of its divisors is an integer number (9682524450).

Almost surely, 2^401631745728 is an apocalyptic number.

401631745728 is a gapful number since it is divisible by the number (48) 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 401631745728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542221369200).

401631745728 is an abundant number, since it is smaller than the sum of its proper divisors (682810992672).

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

401631745728 is a wasteful number, since it uses less digits than its factorization.

401631745728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192554 (or 192544 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 401631745728 in words is "four hundred one billion, six hundred thirty-one million, seven hundred forty-five thousand, seven hundred twenty-eight".