1025342245200 has 480 divisors, whose sum is σ = 4102842290176. Its totient is φ = 213105530880.

The previous prime is 1025342245177. The next prime is 1025342245219. The reversal of 1025342245200 is 25422435201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7246329 + ... + 7386471.

Almost surely, 2^{1025342245200} is an apocalyptic number.

1025342245200 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 1025342245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2051421145088).

1025342245200 is an abundant number, since it is smaller than the sum of its proper divisors (3077500044976).

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

1025342245200 is a wasteful number, since it uses less digits than its factorization.

1025342245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140251 (or 140240 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 1025342245200 in words is "one trillion, twenty-five billion, three hundred forty-two million, two hundred forty-five thousand, two hundred".