40080684994416 has 280 divisors, whose sum is σ = 127204890608496. Its totient is φ = 12127588945920.

The previous prime is 40080684994409. The next prime is 40080684994451. The reversal of 40080684994416 is 61449948608004.

40080684994416 is a `hidden beast` number, since 4 + 0 + 0 + 80 + 68 + 499 + 4 + 4 + 1 + 6 = 666.

40080684994416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40080684994416² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 86116506 + ... + 86580678.

Almost surely, 2^{40080684994416} 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 40080684994416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63602445304248).

40080684994416 is an abundant number, since it is smaller than the sum of its proper divisors (87124205614080).

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

40080684994416 is a wasteful number, since it uses less digits than its factorization.

40080684994416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464883 (or 464862 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 40080684994416 in words is "forty trillion, eighty billion, six hundred eighty-four million, nine hundred ninety-four thousand, four hundred sixteen".