4435699332100 has 81 divisors (see below), whose sum is σ = 10063260699807. Its totient is φ = 1696951798080.

The previous prime is 4435699332083. The next prime is 4435699332109. The reversal of 4435699332100 is 12339965344.

The square root of 4435699332100 is 2106110.

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 1234405437444 + 3201293894656 = 1111038^2 + 1789216^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4435699332109) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 484400722 + ... + 484409878.

Almost surely, 2^{4435699332100} is an apocalyptic number.

4435699332100 is the 2106110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4435699332100

4435699332100 is an abundant number, since it is smaller than the sum of its proper divisors (5627561367707).

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

4435699332100 is an frugal number, since it uses more digits than its factorization.

4435699332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18374 (or 9187 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 49.

Multiplying 4435699332100 by its sum of digits (49), we get a square (217349267272900 = 14742770²).

The spelling of 4435699332100 in words is "four trillion, four hundred thirty-five billion, six hundred ninety-nine million, three hundred thirty-two thousand, one hundred".