40117158900 has 1152 divisors, whose sum is σ = 171722342400. Its totient is φ = 7800883200.

The previous prime is 40117158889. The next prime is 40117158901. The reversal of 40117158900 is 985171104.

40117158900 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 71 + 589 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40117158901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 175183986 + ... + 175184214.

Almost surely, 2^40117158900 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 40117158900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85861171200).

40117158900 is an abundant number, since it is smaller than the sum of its proper divisors (131605183500).

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

40117158900 is a wasteful number, since it uses less digits than its factorization.

40117158900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 40117158900 in words is "forty billion, one hundred seventeen million, one hundred fifty-eight thousand, nine hundred".