401009616 has 100 divisors (see below), whose sum is σ = 1326473632. Its totient is φ = 114571584.

The previous prime is 401009599. The next prime is 401009621. The reversal of 401009616 is 616900104.

401009616 is a `hidden beast` number, since 40 + 1 + 0 + 0 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 401009616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13030 + ... + 31173.

Almost surely, 2^401009616 is an apocalyptic number.

It is an amenable number.

401009616 is an abundant number, since it is smaller than the sum of its proper divisors (925464016).

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

401009616 is a wasteful number, since it uses less digits than its factorization.

401009616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44230 (or 44215 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 401009616 is about 20025.2244931237. The cubic root of 401009616 is about 737.4256884236.

The spelling of 401009616 in words is "four hundred one million, nine thousand, six hundred sixteen".