40193117952 has 288 divisors, whose sum is σ = 125928714240. Its totient is φ = 11262689280.

The previous prime is 40193117947. The next prime is 40193117957. The reversal of 40193117952 is 25971139104.

It is an interprime number because it is at equal distance from previous prime (40193117947) and next prime (40193117957).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40193117957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5257749 + ... + 5265387.

It is an arithmetic number, because the mean of its divisors is an integer number (437252480).

Almost surely, 2^40193117952 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 40193117952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964357120).

40193117952 is an abundant number, since it is smaller than the sum of its proper divisors (85735596288).

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

40193117952 is a wasteful number, since it uses less digits than its factorization.

40193117952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7719 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The spelling of 40193117952 in words is "forty billion, one hundred ninety-three million, one hundred seventeen thousand, nine hundred fifty-two".