401155513632 has 96 divisors (see below), whose sum is σ = 1170706521600. Its totient is φ = 133641978624.

The previous prime is 401155513621. The next prime is 401155513639. The reversal of 401155513632 is 236315551104.

401155513632 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 5 + 5 + 5 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×401155513632² (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 not an unprimeable number, because it can be changed into a prime (401155513639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387798 + ... + 1651754.

It is an arithmetic number, because the mean of its divisors is an integer number (12194859600).

Almost surely, 2^401155513632 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 401155513632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585353260800).

401155513632 is an abundant number, since it is smaller than the sum of its proper divisors (769551007968).

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

401155513632 is a wasteful number, since it uses less digits than its factorization.

401155513632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265735 (or 265721 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 401155513632 in words is "four hundred one billion, one hundred fifty-five million, five hundred thirteen thousand, six hundred thirty-two".