40950893952 has 320 divisors, whose sum is σ = 131042419200. Its totient is φ = 12653853696.

The previous prime is 40950893911. The next prime is 40950893957. The reversal of 40950893952 is 25939805904.

It is a happy number.

40950893952 is a `hidden beast` number, since 40 + 9 + 508 + 9 + 3 + 95 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40950893957) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9256413 + ... + 9260835.

It is an arithmetic number, because the mean of its divisors is an integer number (409507560).

Almost surely, 2^40950893952 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 40950893952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65521209600).

40950893952 is an abundant number, since it is smaller than the sum of its proper divisors (90091525248).

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

40950893952 is a wasteful number, since it uses less digits than its factorization.

40950893952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4515 (or 4494 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 40950893952 in words is "forty billion, nine hundred fifty million, eight hundred ninety-three thousand, nine hundred fifty-two".