401035146057 has 48 divisors (see below), whose sum is σ = 726403362048. Its totient is φ = 207543772800.

The previous prime is 401035146011. The next prime is 401035146067. The reversal of 401035146057 is 750641530104.

401035146057 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 35 + 14 + 605 + 7 = 666.

It is not a de Polignac number, because 401035146057 - 2²⁸ = 400766710601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (401035146067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4576069 + ... + 4662882.

It is an arithmetic number, because the mean of its divisors is an integer number (15133403376).

Almost surely, 2^401035146057 is an apocalyptic number.

It is an amenable number.

401035146057 is a deficient number, since it is larger than the sum of its proper divisors (325368215991).

401035146057 is a wasteful number, since it uses less digits than its factorization.

401035146057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9239030 (or 9239027 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 401035146057 in words is "four hundred one billion, thirty-five million, one hundred forty-six thousand, fifty-seven".