1940164458417 has 48 divisors (see below), whose sum is σ = 2861913300480. Its totient is φ = 1266192331776.

The previous prime is 1940164458413. The next prime is 1940164458461. The reversal of 1940164458417 is 7148544610491.

1940164458417 is a `hidden beast` number, since 1 + 9 + 4 + 0 + 1 + 6 + 44 + 584 + 17 = 666.

It is not a de Polignac number, because 1940164458417 - 2² = 1940164458413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1940164458413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381394048 + ... + 381399134.

It is an arithmetic number, because the mean of its divisors is an integer number (59623193760).

Almost surely, 2^{1940164458417} is an apocalyptic number.

It is an amenable number.

1940164458417 is a deficient number, since it is larger than the sum of its proper divisors (921748842063).

1940164458417 is a wasteful number, since it uses less digits than its factorization.

1940164458417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8022 (or 8019 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1940164458417 in words is "one trillion, nine hundred forty billion, one hundred sixty-four million, four hundred fifty-eight thousand, four hundred seventeen".