40133516679 has 24 divisors (see below), whose sum is σ = 58595052672. Its totient is φ = 26468033040.

The previous prime is 40133516677. The next prime is 40133516681. The reversal of 40133516679 is 97661533104.

It is a happy number.

40133516679 is a `hidden beast` number, since 40 + 1 + 33 + 516 + 67 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (40133516677) and next prime (40133516681).

It is not a de Polignac number, because 40133516679 - 2¹ = 40133516677 is a prime.

It is a super-2 number, since 2×40133516679² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133516677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 877824 + ... + 922410.

It is an arithmetic number, because the mean of its divisors is an integer number (2441460528).

Almost surely, 2^40133516679 is an apocalyptic number.

40133516679 is a deficient number, since it is larger than the sum of its proper divisors (18461535993).

40133516679 is a wasteful number, since it uses less digits than its factorization.

40133516679 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45667 (or 45664 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

It can be divided in two parts, 4013351 and 6679, that added together give a triangular number (4020030 = T₂₈₃₅).

The spelling of 40133516679 in words is "forty billion, one hundred thirty-three million, five hundred sixteen thousand, six hundred seventy-nine".