1025224400000 has 192 divisors, whose sum is σ = 2563076030760. Its totient is φ = 408453120000.

The previous prime is 1025224399919. The next prime is 1025224400089. The reversal of 1025224400000 is 44225201.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 357709255744 + 667515144256 = 598088^2 + 817016^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102795014 + ... + 102804986.

Almost surely, 2^{1025224400000} is an apocalyptic number.

1025224400000 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 1025224400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281538015380).

1025224400000 is an abundant number, since it is smaller than the sum of its proper divisors (1537851630760).

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

1025224400000 is an frugal number, since it uses more digits than its factorization.

1025224400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10269 (or 10237 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 1025224400000 its reverse (44225201), we get a palindrome (1025268625201).

The spelling of 1025224400000 in words is "one trillion, twenty-five billion, two hundred twenty-four million, four hundred thousand".