40112215842384 has 320 divisors, whose sum is σ = 133238309345280. Its totient is φ = 11458159233408.

The previous prime is 40112215842371. The next prime is 40112215842407. The reversal of 40112215842384 is 48324851221104.

40112215842384 is a `hidden beast` number, since 4 + 0 + 1 + 1 + 2 + 215 + 8 + 423 + 8 + 4 = 666.

It is a congruent number.

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, 1343013019 + ... + 1343042885.

It is an arithmetic number, because the mean of its divisors is an integer number (416369716704).

Almost surely, 2^{40112215842384} 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 40112215842384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66619154672640).

40112215842384 is an abundant number, since it is smaller than the sum of its proper divisors (93126093502896).

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

40112215842384 is an equidigital number, since it uses as much as digits as its factorization.

40112215842384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35386 (or 35362 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 40112215842384 in words is "forty trillion, one hundred twelve billion, two hundred fifteen million, eight hundred forty-two thousand, three hundred eighty-four".