40138510896 has 240 divisors, whose sum is σ = 125112349440. Its totient is φ = 11909952000.

The previous prime is 40138510891. The next prime is 40138510897. The reversal of 40138510896 is 69801583104.

40138510896 is a `hidden beast` number, since 40 + 1 + 3 + 8 + 510 + 8 + 96 = 666.

It is a super-2 number, since 2×40138510896² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40138510891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29064126 + ... + 29065506.

It is an arithmetic number, because the mean of its divisors is an integer number (521301456).

Almost surely, 2^40138510896 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 40138510896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62556174720).

40138510896 is an abundant number, since it is smaller than the sum of its proper divisors (84973838544).

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

40138510896 is a wasteful number, since it uses less digits than its factorization.

40138510896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 40138510896 in words is "forty billion, one hundred thirty-eight million, five hundred ten thousand, eight hundred ninety-six".