40138918632 has 128 divisors (see below), whose sum is σ = 114674313600. Its totient is φ = 13001554944.

The previous prime is 40138918577. The next prime is 40138918639. The reversal of 40138918632 is 23681983104.

40138918632 is a `hidden beast` number, since 4 + 0 + 1 + 3 + 8 + 9 + 1 + 8 + 632 = 666.

40138918632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40138918632² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40138918639) 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, 1818768 + ... + 1840704.

It is an arithmetic number, because the mean of its divisors is an integer number (895893075).

Almost surely, 2^40138918632 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 40138918632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57337156800).

40138918632 is an abundant number, since it is smaller than the sum of its proper divisors (74535394968).

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

40138918632 is a wasteful number, since it uses less digits than its factorization.

40138918632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22192 (or 22182 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 40138918632 in words is "forty billion, one hundred thirty-eight million, nine hundred eighteen thousand, six hundred thirty-two".