40514706816 has 256 divisors, whose sum is σ = 119765952000. Its totient is φ = 12069601280.

The previous prime is 40514706797. The next prime is 40514706847. The reversal of 40514706816 is 61860741504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22370551 + ... + 22372361.

It is an arithmetic number, because the mean of its divisors is an integer number (467835750).

Almost surely, 2^40514706816 is an apocalyptic number.

40514706816 is a gapful number since it is divisible by the number (46) 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 40514706816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59882976000).

40514706816 is an abundant number, since it is smaller than the sum of its proper divisors (79251245184).

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

40514706816 is a wasteful number, since it uses less digits than its factorization.

40514706816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 40514706816 in words is "forty billion, five hundred fourteen million, seven hundred six thousand, eight hundred sixteen".