3914072442000 has 1120 divisors, whose sum is σ = 16485444578304. Its totient is φ = 879838848000.

The previous prime is 3914072441933. The next prime is 3914072442019. The reversal of 3914072442000 is 2442704193.

3914072442000 is a `hidden beast` number, since 3 + 9 + 1 + 407 + 2 + 44 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 622562857 + ... + 622569143.

Almost surely, 2^{3914072442000} is an apocalyptic number.

3914072442000 is a gapful number since it is divisible by the number (30) 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 3914072442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8242722289152).

3914072442000 is an abundant number, since it is smaller than the sum of its proper divisors (12571372136304).

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

3914072442000 is an equidigital number, since it uses as much as digits as its factorization.

3914072442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6396 (or 6365 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3914072442000 in words is "three trillion, nine hundred fourteen billion, seventy-two million, four hundred forty-two thousand".