401561535232 has 288 divisors, whose sum is σ = 995232430080. Its totient is φ = 159095439360.

The previous prime is 401561535229. The next prime is 401561535233. The reversal of 401561535232 is 232535165104.

It is a super-2 number, since 2×401561535232² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401561535191 and 401561535200.

It is not an unprimeable number, because it can be changed into a prime (401561535233) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66513718 + ... + 66519754.

It is an arithmetic number, because the mean of its divisors is an integer number (3455668160).

Almost surely, 2^401561535232 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 401561535232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497616215040).

401561535232 is an abundant number, since it is smaller than the sum of its proper divisors (593670894848).

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

401561535232 is a wasteful number, since it uses less digits than its factorization.

401561535232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6179 (or 6165 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 401561535232 in words is "four hundred one billion, five hundred sixty-one million, five hundred thirty-five thousand, two hundred thirty-two".