40816687703680 has 512 divisors, whose sum is σ = 115683158016000. Its totient is φ = 13476143923200.

The previous prime is 40816687703663. The next prime is 40816687703681. The reversal of 40816687703680 is 8630778661804.

It is a super-2 number, since 2×40816687703680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is not an unprimeable number, because it can be changed into a prime (40816687703681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40055630211 + ... + 40055631229.

It is an arithmetic number, because the mean of its divisors is an integer number (225943668000).

Almost surely, 2^{40816687703680} is an apocalyptic number.

40816687703680 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 40816687703680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57841579008000).

40816687703680 is an abundant number, since it is smaller than the sum of its proper divisors (74866470312320).

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

40816687703680 is a wasteful number, since it uses less digits than its factorization.

40816687703680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 64.

The spelling of 40816687703680 in words is "forty trillion, eight hundred sixteen billion, six hundred eighty-seven million, seven hundred three thousand, six hundred eighty".