40133634192 has 160 divisors (see below), whose sum is σ = 120319977600. Its totient is φ = 12795397632.

The previous prime is 40133634157. The next prime is 40133634223. The reversal of 40133634192 is 29143633104.

40133634192 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 3 + 634 + 19 + 2 = 666.

It is a super-2 number, since 2×40133634192² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 921778 + ... + 964334.

It is an arithmetic number, because the mean of its divisors is an integer number (751999860).

Almost surely, 2^40133634192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40133634192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60159988800).

40133634192 is an abundant number, since it is smaller than the sum of its proper divisors (80186343408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40133634192 is a wasteful number, since it uses less digits than its factorization.

40133634192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42670 (or 42658 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 40133634192 in words is "forty billion, one hundred thirty-three million, six hundred thirty-four thousand, one hundred ninety-two".