4005970117457 has 24 divisors (see below), whose sum is σ = 5123671741440. Its totient is φ = 3096956086560.

The previous prime is 4005970117447. The next prime is 4005970117463. The reversal of 4005970117457 is 7547110795004.

It is not a de Polignac number, because 4005970117457 - 2⁴ = 4005970117441 is a prime.

It is a super-2 number, since 2×4005970117457² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4005970117447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29192282 + ... + 29329187.

It is an arithmetic number, because the mean of its divisors is an integer number (213486322560).

Almost surely, 2^{4005970117457} is an apocalyptic number.

It is an amenable number.

4005970117457 is a deficient number, since it is larger than the sum of its proper divisors (1117701623983).

4005970117457 is a wasteful number, since it uses less digits than its factorization.

4005970117457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58521621 (or 58521614 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 50.

The spelling of 4005970117457 in words is "four trillion, five billion, nine hundred seventy million, one hundred seventeen thousand, four hundred fifty-seven".