40138207344 has 240 divisors, whose sum is σ = 119429856000. Its totient is φ = 13046261760.

The previous prime is 40138207337. The next prime is 40138207363. The reversal of 40138207344 is 44370283104.

40138207344 is a `hidden beast` number, since 401 + 3 + 8 + 207 + 3 + 44 = 666.

It is a super-2 number, since 2×40138207344² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 40138207299 and 40138207308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26775907 + ... + 26777405.

It is an arithmetic number, because the mean of its divisors is an integer number (497624400).

Almost surely, 2^40138207344 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 40138207344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59714928000).

40138207344 is an abundant number, since it is smaller than the sum of its proper divisors (79291648656).

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

40138207344 is a wasteful number, since it uses less digits than its factorization.

40138207344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1690 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 40138207344 in words is "forty billion, one hundred thirty-eight million, two hundred seven thousand, three hundred forty-four".