40956374916135 has 24 divisors (see below), whose sum is σ = 81132628405920. Its totient is φ = 18722914247232.

The previous prime is 40956374916133. The next prime is 40956374916161. The reversal of 40956374916135 is 53161947365904.

40956374916135 is a `hidden beast` number, since 4 + 0 + 9 + 5 + 6 + 3 + 7 + 4 + 9 + 1 + 613 + 5 = 666.

It is not a de Polignac number, because 40956374916135 - 2¹ = 40956374916133 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40956374916133) 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, 65010118600 + ... + 65010119229.

It is an arithmetic number, because the mean of its divisors is an integer number (3380526183580).

Almost surely, 2^{40956374916135} is an apocalyptic number.

40956374916135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40956374916135 is a deficient number, since it is larger than the sum of its proper divisors (40176253489785).

40956374916135 is a wasteful number, since it uses less digits than its factorization.

40956374916135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130020237847 (or 130020237844 counting only the distinct ones).

The product of its (nonzero) digits is 73483200, while the sum is 63.

The spelling of 40956374916135 in words is "forty trillion, nine hundred fifty-six billion, three hundred seventy-four million, nine hundred sixteen thousand, one hundred thirty-five".