401155504416 has 72 divisors (see below), whose sum is σ = 1149112983564. Its totient is φ = 132742440960.

The previous prime is 401155504391. The next prime is 401155504487. The reversal of 401155504416 is 614405551104.

401155504416 is a `hidden beast` number, since 40 + 1 + 15 + 550 + 44 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 349351923600 + 51803580816 = 591060^2 + 227604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5044125 + ... + 5123036.

Almost surely, 2^401155504416 is an apocalyptic number.

It is an amenable number.

401155504416 is an abundant number, since it is smaller than the sum of its proper divisors (747957479148).

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

401155504416 is a wasteful number, since it uses less digits than its factorization.

401155504416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10167314 (or 10167303 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 401155504416 in words is "four hundred one billion, one hundred fifty-five million, five hundred four thousand, four hundred sixteen".