40872099536640 has 504 divisors, whose sum is σ = 146839682320128. Its totient is φ = 10895168839680.

The previous prime is 40872099536497. The next prime is 40872099536657. The reversal of 40872099536640 is 4663599027804.

40872099536640 is a `hidden beast` number, since 4 + 0 + 8 + 7 + 2 + 0 + 99 + 536 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3164203462 + ... + 3164216378.

It is an arithmetic number, because the mean of its divisors is an integer number (291348576032).

Almost surely, 2^{40872099536640} is an apocalyptic number.

40872099536640 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 40872099536640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73419841160064).

40872099536640 is an abundant number, since it is smaller than the sum of its proper divisors (105967582783488).

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

40872099536640 is an equidigital number, since it uses as much as digits as its factorization.

40872099536640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16347 (or 16318 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 40872099536640 in words is "forty trillion, eight hundred seventy-two billion, ninety-nine million, five hundred thirty-six thousand, six hundred forty".