4492191874000 has 80 divisors (see below), whose sum is σ = 10984166678160. Its totient is φ = 1776687052800.

The previous prime is 4492191873977. The next prime is 4492191874003. The reversal of 4492191874000 is 4781912944.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 998896304704 + 3493295569296 = 999448^2 + 1869036^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4492191874003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12440517 + ... + 12796516.

It is an arithmetic number, because the mean of its divisors is an integer number (137302083477).

Almost surely, 2^{4492191874000} is an apocalyptic number.

4492191874000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4492191874000 is an abundant number, since it is smaller than the sum of its proper divisors (6491974804160).

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

4492191874000 is a wasteful number, since it uses less digits than its factorization.

4492191874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25237145 (or 25237129 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The spelling of 4492191874000 in words is "four trillion, four hundred ninety-two billion, one hundred ninety-one million, eight hundred seventy-four thousand".