401161176 has 96 divisors (see below), whose sum is σ = 1210482000. Its totient is φ = 119169792.

The previous prime is 401161157. The next prime is 401161177. The reversal of 401161176 is 671161104.

401161176 is a `hidden beast` number, since 40 + 1 + 1 + 611 + 7 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401161177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19755 + ... + 34533.

Almost surely, 2^401161176 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 401161176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605241000).

401161176 is an abundant number, since it is smaller than the sum of its proper divisors (809320824).

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

401161176 is a wasteful number, since it uses less digits than its factorization.

401161176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14833 (or 14826 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 401161176 is about 20029.0083628721. The cubic root of 401161176 is about 737.5185790972.

The spelling of 401161176 in words is "four hundred one million, one hundred sixty-one thousand, one hundred seventy-six".