401407217617 has 24 divisors (see below), whose sum is σ = 474975947520. Its totient is φ = 338147298720.

The previous prime is 401407217591. The next prime is 401407217633. The reversal of 401407217617 is 716712704104.

It is a de Polignac number, because none of the positive numbers 2^k-401407217617 is a prime.

It is a super-2 number, since 2×401407217617² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401407217617.

It is not an unprimeable number, because it can be changed into a prime (401407217647) 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 23 ways as a sum of consecutive naturals, for example, 13344288 + ... + 13374334.

It is an arithmetic number, because the mean of its divisors is an integer number (19790664480).

Almost surely, 2^401407217617 is an apocalyptic number.

It is an amenable number.

401407217617 is a deficient number, since it is larger than the sum of its proper divisors (73568729903).

401407217617 is a wasteful number, since it uses less digits than its factorization.

401407217617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34741 (or 34734 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The spelling of 401407217617 in words is "four hundred one billion, four hundred seven million, two hundred seventeen thousand, six hundred seventeen".