40167070646553 has 12 divisors (see below), whose sum is σ = 58025539430820. Its totient is φ = 26775075996576.

The previous prime is 40167070646431. The next prime is 40167070646611. The reversal of 40167070646553 is 35564607076104.

40167070646553 is a `hidden beast` number, since 4 + 0 + 1 + 67 + 0 + 70 + 6 + 465 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32116385105424 + 8050685541129 = 5667132^2 + 2837373^2 .

It is not a de Polignac number, because 40167070646553 - 2¹⁸ = 40167070384409 is a prime.

It is a super-2 number, since 2×40167070646553² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40167070646553.

It is not an unprimeable number, because it can be changed into a prime (40167070646653) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247506138 + ... + 247668371.

It is an arithmetic number, because the mean of its divisors is an integer number (4835461619235).

Almost surely, 2^{40167070646553} is an apocalyptic number.

It is an amenable number.

40167070646553 is a deficient number, since it is larger than the sum of its proper divisors (17858468784267).

40167070646553 is a wasteful number, since it uses less digits than its factorization.

40167070646553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495183528 (or 495183525 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 40167070646553 in words is "forty trillion, one hundred sixty-seven billion, seventy million, six hundred forty-six thousand, five hundred fifty-three".