4104959644900 has 135 divisors (see below), whose sum is σ = 9337037797801. Its totient is φ = 1566492489760.

The previous prime is 4104959644871. The next prime is 4104959644939. The reversal of 4104959644900 is 94469594014.

The square root of 4104959644900 is 2026070.

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

It can be written as a sum of positive squares in only one way, i.e., 1477785472164 + 2627174172736 = 1215642^2 + 1620856^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10717910109 + ... + 10717910491.

Almost surely, 2^{4104959644900} is an apocalyptic number.

4104959644900 is the 2026070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4104959644900

4104959644900 is an abundant number, since it is smaller than the sum of its proper divisors (5232078152901).

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

4104959644900 is an frugal number, since it uses more digits than its factorization.

4104959644900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 413 counting only the distinct ones).

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

The spelling of 4104959644900 in words is "four trillion, one hundred four billion, nine hundred fifty-nine million, six hundred forty-four thousand, nine hundred".