40023617952 has 96 divisors (see below), whose sum is σ = 110704043520. Its totient is φ = 12626184960.

The previous prime is 40023617927. The next prime is 40023617983. The reversal of 40023617952 is 25971632004.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 40023617952.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1869903 + ... + 1891185.

It is an arithmetic number, because the mean of its divisors is an integer number (1153167120).

Almost surely, 2^40023617952 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 40023617952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55352021760).

40023617952 is an abundant number, since it is smaller than the sum of its proper divisors (70680425568).

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

40023617952 is a wasteful number, since it uses less digits than its factorization.

40023617952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22346 (or 22338 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 40023617952 in words is "forty billion, twenty-three million, six hundred seventeen thousand, nine hundred fifty-two".