4381360648900 has 27 divisors (see below), whose sum is σ = 9507598030119. Its totient is φ = 1752535886880.

The previous prime is 4381360648877. The next prime is 4381360648909. The reversal of 4381360648900 is 98460631834.

The square root of 4381360648900 is 2093170.

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 2738780065476 + 1642580583424 = 1654926^2 + 1281632^2 .

It is a super-2 number, since 2×4381360648900² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4381360648909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 20827042 + ... + 21036358.

Almost surely, 2^{4381360648900} is an apocalyptic number.

4381360648900 is the 2093170-th square number.

It is an amenable number.

4381360648900 is an abundant number, since it is smaller than the sum of its proper divisors (5126237381219).

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

4381360648900 is an frugal number, since it uses more digits than its factorization.

4381360648900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418648 (or 209324 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 4381360648900 in words is "four trillion, three hundred eighty-one billion, three hundred sixty million, six hundred forty-eight thousand, nine hundred".