40844840008896 has 336 divisors, whose sum is σ = 146054488769280. Its totient is φ = 10602387855360.

The previous prime is 40844840008849. The next prime is 40844840008961. The reversal of 40844840008896 is 69880004844804.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×40844840008896² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70541815 + ... + 71118473.

It is an arithmetic number, because the mean of its divisors is an integer number (434685978480).

Almost surely, 2^{40844840008896} 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 40844840008896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73027244384640).

40844840008896 is an abundant number, since it is smaller than the sum of its proper divisors (105209648760384).

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

40844840008896 is a wasteful number, since it uses less digits than its factorization.

40844840008896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578292 (or 578279 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 40844840008896 in words is "forty trillion, eight hundred forty-four billion, eight hundred forty million, eight thousand, eight hundred ninety-six".