40084291584 has 480 divisors, whose sum is σ = 127502950400. Its totient is φ = 12421693440.

The previous prime is 40084291571. The next prime is 40084291589. The reversal of 40084291584 is 48519248004.

40084291584 is a `hidden beast` number, since 40 + 0 + 8 + 4 + 29 + 1 + 584 = 666.

It is a super-2 number, since 2×40084291584² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40084291589) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507396057 + ... + 507396135.

Almost surely, 2^40084291584 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 40084291584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63751475200).

40084291584 is an abundant number, since it is smaller than the sum of its proper divisors (87418658816).

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

40084291584 is an equidigital number, since it uses as much as digits as its factorization.

40084291584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 40084291584 in words is "forty billion, eighty-four million, two hundred ninety-one thousand, five hundred eighty-four".