40093104384 has 288 divisors, whose sum is σ = 121125804800. Its totient is φ = 13078609920.

The previous prime is 40093104377. The next prime is 40093104397. The reversal of 40093104384 is 48340139004.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91328037 + ... + 91328475.

Almost surely, 2^40093104384 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 40093104384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60562902400).

40093104384 is an abundant number, since it is smaller than the sum of its proper divisors (81032700416).

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

40093104384 is a wasteful number, since it uses less digits than its factorization.

40093104384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 40093104384 in words is "forty billion, ninety-three million, one hundred four thousand, three hundred eighty-four".