401510575488 has 512 divisors, whose sum is σ = 1282579660800. Its totient is φ = 109928448000.

The previous prime is 401510575483. The next prime is 401510575493. The reversal of 401510575488 is 884575015104.

It is an interprime number because it is at equal distance from previous prime (401510575483) and next prime (401510575493).

It is a super-2 number, since 2×401510575488² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401510575483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 176642320 + ... + 176644592.

It is an arithmetic number, because the mean of its divisors is an integer number (2505038400).

Almost surely, 2^401510575488 is an apocalyptic number.

401510575488 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 401510575488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641289830400).

401510575488 is an abundant number, since it is smaller than the sum of its proper divisors (881069085312).

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

401510575488 is a wasteful number, since it uses less digits than its factorization.

401510575488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2410 counting only the distinct ones).

The product of its (nonzero) digits is 896000, while the sum is 48.

The spelling of 401510575488 in words is "four hundred one billion, five hundred ten million, five hundred seventy-five thousand, four hundred eighty-eight".