40416450984 has 256 divisors, whose sum is σ = 139524403200. Its totient is φ = 10555266816.

The previous prime is 40416450883. The next prime is 40416451067. The reversal of 40416450984 is 48905461404.

40416450984 is a `hidden beast` number, since 4 + 0 + 4 + 1 + 64 + 509 + 84 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2014587 + ... + 2034549.

It is an arithmetic number, because the mean of its divisors is an integer number (545017200).

Almost surely, 2^40416450984 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 40416450984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69762201600).

40416450984 is an abundant number, since it is smaller than the sum of its proper divisors (99107952216).

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

40416450984 is a wasteful number, since it uses less digits than its factorization.

40416450984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20101 (or 20091 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 40416450984 in words is "forty billion, four hundred sixteen million, four hundred fifty thousand, nine hundred eighty-four".