40133432371329 has 48 divisors (see below), whose sum is σ = 63275983902144. Its totient is φ = 24309671961600.

The previous prime is 40133432371321. The next prime is 40133432371397. The reversal of 40133432371329 is 92317323433104.

40133432371329 is a `hidden beast` number, since 40 + 1 + 3 + 343 + 237 + 1 + 32 + 9 = 666.

It is not a de Polignac number, because 40133432371329 - 2³ = 40133432371321 is a prime.

It is a super-2 number, since 2×40133432371329² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40133432371321) 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, 1504181869 + ... + 1504208549.

It is an arithmetic number, because the mean of its divisors is an integer number (1318249664628).

Almost surely, 2^{40133432371329} is an apocalyptic number.

It is an amenable number.

40133432371329 is a deficient number, since it is larger than the sum of its proper divisors (23142551530815).

40133432371329 is a wasteful number, since it uses less digits than its factorization.

40133432371329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34638 (or 34635 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 40133432371329 in words is "forty trillion, one hundred thirty-three billion, four hundred thirty-two million, three hundred seventy-one thousand, three hundred twenty-nine".