40381993152 has 112 divisors (see below), whose sum is σ = 118945233280. Its totient is φ = 13434626304.

The previous prime is 40381993129. The next prime is 40381993207. The reversal of 40381993152 is 25139918304.

It is a happy number.

40381993152 is a `hidden beast` number, since 403 + 8 + 1 + 9 + 93 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40381993098 and 40381993107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881403 + ... + 926085.

Almost surely, 2^40381993152 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 40381993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59472616640).

40381993152 is an abundant number, since it is smaller than the sum of its proper divisors (78563240128).

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

40381993152 is a wasteful number, since it uses less digits than its factorization.

40381993152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45227 (or 45211 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 40381993152 in words is "forty billion, three hundred eighty-one million, nine hundred ninety-three thousand, one hundred fifty-two".