40205050956 has 144 divisors (see below), whose sum is σ = 120463470400. Its totient is φ = 11298631680.

The previous prime is 40205050903. The next prime is 40205050957. The reversal of 40205050956 is 65905050204.

40205050956 is a `hidden beast` number, since 40 + 20 + 505 + 0 + 95 + 6 = 666.

It is a super-2 number, since 2×40205050956² (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 a self number, because there is not a number n which added to its sum of digits gives 40205050956.

It is not an unprimeable number, because it can be changed into a prime (40205050957) 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, 726540 + ... + 779916.

Almost surely, 2^40205050956 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 40205050956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60231735200).

40205050956 is an abundant number, since it is smaller than the sum of its proper divisors (80258419444).

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

40205050956 is a wasteful number, since it uses less digits than its factorization.

40205050956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53469 (or 53450 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 40205050956 in words is "forty billion, two hundred five million, fifty thousand, nine hundred fifty-six".