40138041888 has 288 divisors, whose sum is σ = 142107073920. Its totient is φ = 10969136640.

The previous prime is 40138041887. The next prime is 40138041901. The reversal of 40138041888 is 88814083104.

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

It is a super-2 number, since 2×40138041888² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40138041883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 953118 + ... + 994338.

It is an arithmetic number, because the mean of its divisors is an integer number (493427340).

Almost surely, 2^40138041888 is an apocalyptic number.

40138041888 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40138041888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71053536960).

40138041888 is an abundant number, since it is smaller than the sum of its proper divisors (101969032032).

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

40138041888 is a wasteful number, since it uses less digits than its factorization.

40138041888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41277 (or 41256 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 40138041888 in words is "forty billion, one hundred thirty-eight million, forty-one thousand, eight hundred eighty-eight".