1002241254400 has 99 divisors (see below), whose sum is σ = 2484741773299. Its totient is φ = 400832430080.

The previous prime is 1002241254389. The next prime is 1002241254401. The reversal of 1002241254400 is 44521422001.

The square root of 1002241254400 is 1001120.

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 266983023616 + 735258230784 = 516704^2 + 857472^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1002241254401) 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, 160176072 + ... + 160182328.

Almost surely, 2^{1002241254400} is an apocalyptic number.

1002241254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1002241254400 is the 1001120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002241254400

1002241254400 is an abundant number, since it is smaller than the sum of its proper divisors (1482500518899).

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

1002241254400 is an frugal number, since it uses more digits than its factorization.

1002241254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12544 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Multiplying 1002241254400 by its sum of digits (25), we get a square (25056031360000 = 5005600²).

1002241254400 divided by its sum of digits (25) gives a square (40089650176 = 200224²).

Adding to 1002241254400 its reverse (44521422001), we get a palindrome (1046762676401).

It can be divided in two parts, 1002241 and 254400, that added together give a square (1256641 = 1121²).

The spelling of 1002241254400 in words is "one trillion, two billion, two hundred forty-one million, two hundred fifty-four thousand, four hundred".