4492114329600 has 714 divisors, whose sum is σ = 16707338043066. Its totient is φ = 1197578649600.

The previous prime is 4492114329569. The next prime is 4492114329607. The reversal of 4492114329600 is 69234112944.

4492114329600 is a `hidden beast` number, since 4 + 4 + 9 + 2 + 1 + 1 + 4 + 32 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 220915040256 + 4271199289344 = 470016^2 + 2066688^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4492114329607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1194391720 + ... + 1194395480.

Almost surely, 2^{4492114329600} is an apocalyptic number.

4492114329600 is a gapful number since it is divisible by the number (40) 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 4492114329600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353669021533).

4492114329600 is an abundant number, since it is smaller than the sum of its proper divisors (12215223713466).

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

4492114329600 is an frugal number, since it uses more digits than its factorization.

4492114329600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3821 (or 3771 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 4492114329600 in words is "four trillion, four hundred ninety-two billion, one hundred fourteen million, three hundred twenty-nine thousand, six hundred".