1253101242400 has 288 divisors, whose sum is σ = 3529157869440. Its totient is φ = 425597829120.

The previous prime is 1253101242391. The next prime is 1253101242403. The reversal of 1253101242400 is 42421013521.

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

It is not an unprimeable number, because it can be changed into a prime (1253101242403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 277662544 + ... + 277667056.

It is an arithmetic number, because the mean of its divisors is an integer number (12254020380).

Almost surely, 2^{1253101242400} is an apocalyptic number.

1253101242400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253101242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764578934720).

1253101242400 is an abundant number, since it is smaller than the sum of its proper divisors (2276056627040).

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

1253101242400 is a wasteful number, since it uses less digits than its factorization.

1253101242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1253101242400 its reverse (42421013521), we get a palindrome (1295522255921).

The spelling of 1253101242400 in words is "one trillion, two hundred fifty-three billion, one hundred one million, two hundred forty-two thousand, four hundred".