1025424142200 has 144 divisors (see below), whose sum is σ = 3444405793920. Its totient is φ = 273391672320.

The previous prime is 1025424142177. The next prime is 1025424142241. The reversal of 1025424142200 is 22414245201.

It is a happy number.

1025424142200 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 42 + 414 + 2 + 200 = 666.

1025424142200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9364969 + ... + 9473831.

It is an arithmetic number, because the mean of its divisors is an integer number (23919484680).

Almost surely, 2^{1025424142200} is an apocalyptic number.

1025424142200 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 1025424142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722202896960).

1025424142200 is an abundant number, since it is smaller than the sum of its proper divisors (2418981651720).

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

1025424142200 is a wasteful number, since it uses less digits than its factorization.

1025424142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114118 (or 114106 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 1025424142200 its reverse (22414245201), we get a palindrome (1047838387401).

The spelling of 1025424142200 in words is "one trillion, twenty-five billion, four hundred twenty-four million, one hundred forty-two thousand, two hundred".