40138310080 has 112 divisors (see below), whose sum is σ = 104706846720. Its totient is φ = 14534374400.

The previous prime is 40138310077. The next prime is 40138310083. The reversal of 40138310080 is 8001383104.

It is an interprime number because it is at equal distance from previous prime (40138310077) and next prime (40138310083).

It is a super-2 number, since 2×40138310080² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40138310083) 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 15 ways as a sum of consecutive naturals, for example, 817425 + ... + 865135.

It is an arithmetic number, because the mean of its divisors is an integer number (934882560).

Almost surely, 2^40138310080 is an apocalyptic number.

40138310080 is a gapful number since it is divisible by the number (40) 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 40138310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52353423360).

40138310080 is an abundant number, since it is smaller than the sum of its proper divisors (64568536640).

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

40138310080 is a wasteful number, since it uses less digits than its factorization.

40138310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47978 (or 47968 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 40138310080 its reverse (8001383104), we get a palindrome (48139693184).

The spelling of 40138310080 in words is "forty billion, one hundred thirty-eight million, three hundred ten thousand, eighty".