4385296692100 has 81 divisors (see below), whose sum is σ = 9573650318127. Its totient is φ = 1743572738880.

The previous prime is 4385296692079. The next prime is 4385296692131. The reversal of 4385296692100 is 12966925834.

The square root of 4385296692100 is 2094110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1011227337604 + 3374069354496 = 1005598^2 + 1836864^2 .

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 4125396169 + ... + 4125397231.

Almost surely, 2^{4385296692100} is an apocalyptic number.

4385296692100 is the 2094110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4385296692100

4385296692100 is an abundant number, since it is smaller than the sum of its proper divisors (5188353626027).

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

4385296692100 is an equidigital number, since it uses as much as digits as its factorization.

4385296692100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 4385296692100 in words is "four trillion, three hundred eighty-five billion, two hundred ninety-six million, six hundred ninety-two thousand, one hundred".