4361874020100 has 243 divisors, whose sum is σ = 14006051825493. Its totient is φ = 1135414284480.

The previous prime is 4361874020069. The next prime is 4361874020123. The reversal of 4361874020100 is 10204781634.

The square root of 4361874020100 is 2088510.

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

4361874020100 is a `hidden beast` number, since 4 + 3 + 618 + 7 + 4 + 0 + 20 + 10 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1570274647236 + 2791599372864 = 1253106^2 + 1670808^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2694177091 + ... + 2694178709.

Almost surely, 2^{4361874020100} is an apocalyptic number.

4361874020100 is the 2088510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4361874020100

4361874020100 is an abundant number, since it is smaller than the sum of its proper divisors (9644177805393).

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

4361874020100 is a wasteful number, since it uses less digits than its factorization.

4361874020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3344 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 4361874020100 by its sum of digits (36), we get a square (157027464723600 = 12531060²).

4361874020100 divided by its sum of digits (36) gives a square (121163167225 = 348085²).

The spelling of 4361874020100 in words is "four trillion, three hundred sixty-one billion, eight hundred seventy-four million, twenty thousand, one hundred".