401538084163128 has 96 divisors (see below), whose sum is σ = 1186545306960000. Its totient is φ = 121659460084800.

The previous prime is 401538084163093. The next prime is 401538084163141. The reversal of 401538084163128 is 821361480835104.

It is a happy number.

401538084163128 is a `hidden beast` number, since 4 + 0 + 1 + 5 + 380 + 84 + 1 + 63 + 128 = 666.

It is a super-2 number, since 2×401538084163128² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33912628 + ... + 44194371.

It is an arithmetic number, because the mean of its divisors is an integer number (12359846947500).

Almost surely, 2^{401538084163128} is an apocalyptic number.

It is an amenable number.

401538084163128 is an abundant number, since it is smaller than the sum of its proper divisors (785007222796872).

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

401538084163128 is a wasteful number, since it uses less digits than its factorization.

401538084163128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78113513 (or 78113506 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 401538084163128 in words is "four hundred one trillion, five hundred thirty-eight billion, eighty-four million, one hundred sixty-three thousand, one hundred twenty-eight".