401632501536 has 216 divisors, whose sum is σ = 1330968182544. Its totient is φ = 114548878080.

The previous prime is 401632501453. The next prime is 401632501559. The reversal of 401632501536 is 635105236104.

401632501536 is a `hidden beast` number, since 4 + 0 + 1 + 632 + 5 + 0 + 15 + 3 + 6 = 666.

It is a super-2 number, since 2×401632501536² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 401632501536.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8033031 + ... + 8082873.

It is an arithmetic number, because the mean of its divisors is an integer number (6161889734).

Almost surely, 2^401632501536 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 401632501536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665484091272).

401632501536 is an abundant number, since it is smaller than the sum of its proper divisors (929335681008).

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

401632501536 is a wasteful number, since it uses less digits than its factorization.

401632501536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50444 (or 50426 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 401632501536 in words is "four hundred one billion, six hundred thirty-two million, five hundred one thousand, five hundred thirty-six".