1225360441600 has 243 divisors, whose sum is σ = 3085808123461. Its totient is φ = 481748992000.

The previous prime is 1225360441573. The next prime is 1225360441603. The reversal of 1225360441600 is 61440635221.

The square root of 1225360441600 is 1106960.

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

It can be written as a sum of positive squares in 13 ways, for example, as 76999590144 + 1148360851456 = 277488^2 + 1071616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1225360441603) 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, 8944236732 + ... + 8944236868.

Almost surely, 2^{1225360441600} is an apocalyptic number.

1225360441600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1225360441600 is the 1106960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1225360441600

1225360441600 is an abundant number, since it is smaller than the sum of its proper divisors (1860447681861).

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

1225360441600 is an frugal number, since it uses more digits than its factorization.

1225360441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 1225360441600 in words is "one trillion, two hundred twenty-five billion, three hundred sixty million, four hundred forty-one thousand, six hundred".