40344194221632 has 448 divisors, whose sum is σ = 137980121377280. Its totient is φ = 11463177646080.

The previous prime is 40344194221621. The next prime is 40344194221651. The reversal of 40344194221632 is 23612249144304.

40344194221632 is a `hidden beast` number, since 4 + 0 + 3 + 4 + 4 + 1 + 9 + 4 + 2 + 2 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177225708 + ... + 177453204.

It is an arithmetic number, because the mean of its divisors is an integer number (307991342360).

Almost surely, 2^{40344194221632} is an apocalyptic number.

40344194221632 is a gapful number since it is divisible by the number (42) 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 40344194221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68990060688640).

40344194221632 is an abundant number, since it is smaller than the sum of its proper divisors (97635927155648).

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

40344194221632 is an equidigital number, since it uses as much as digits as its factorization.

40344194221632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227718 (or 227690 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 40344194221632 in words is "forty trillion, three hundred forty-four billion, one hundred ninety-four million, two hundred twenty-one thousand, six hundred thirty-two".