1030225768000 has 448 divisors, whose sum is σ = 3042358615296. Its totient is φ = 340623360000.

The previous prime is 1030225767997. The next prime is 1030225768009. The reversal of 1030225768000 is 8675220301.

It is a happy number.

It is a super-2 number, since 2×1030225768000² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030225768009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76641280 + ... + 76654720.

It is an arithmetic number, because the mean of its divisors is an integer number (6790979052).

Almost surely, 2^{1030225768000} is an apocalyptic number.

1030225768000 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 1030225768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521179307648).

1030225768000 is an abundant number, since it is smaller than the sum of its proper divisors (2012132847296).

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

1030225768000 is a wasteful number, since it uses less digits than its factorization.

1030225768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13559 (or 13539 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 1030225768000 in words is "one trillion, thirty billion, two hundred twenty-five million, seven hundred sixty-eight thousand".