40138414581760 has 768 divisors, whose sum is σ = 110406352492800. Its totient is φ = 13987155804160.

The previous prime is 40138414581703. The next prime is 40138414581833. The reversal of 40138414581760 is 6718541483104.

It is a super-2 number, since 2×40138414581760² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40138414581698 and 40138414581707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68378900187 + ... + 68378900773.

It is an arithmetic number, because the mean of its divisors is an integer number (143758271475).

Almost surely, 2^{40138414581760} is an apocalyptic number.

40138414581760 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 40138414581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55203176246400).

40138414581760 is an abundant number, since it is smaller than the sum of its proper divisors (70267937911040).

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

40138414581760 is a wasteful number, since it uses less digits than its factorization.

40138414581760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 52.

The spelling of 40138414581760 in words is "forty trillion, one hundred thirty-eight billion, four hundred fourteen million, five hundred eighty-one thousand, seven hundred sixty".