40412788416 has 2016 divisors, whose sum is σ = 182130923520. Its totient is φ = 8360755200.

The previous prime is 40412788391. The next prime is 40412788439. The reversal of 40412788416 is 61488721404.

40412788416 is a `hidden beast` number, since 404 + 127 + 88 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1303638321 + ... + 1303638351.

It is an arithmetic number, because the mean of its divisors is an integer number (90342720).

Almost surely, 2^40412788416 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 40412788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91065461760).

40412788416 is an abundant number, since it is smaller than the sum of its proper divisors (141718135104).

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

40412788416 is a wasteful number, since it uses less digits than its factorization.

40412788416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

It can be divided in two parts, 40412 and 788416, that added together give a palindrome (828828).

The spelling of 40412788416 in words is "forty billion, four hundred twelve million, seven hundred eighty-eight thousand, four hundred sixteen".