1030608023200 has 432 divisors, whose sum is σ = 2996169092280. Its totient is φ = 345034260480.

The previous prime is 1030608023191. The next prime is 1030608023209. The reversal of 1030608023200 is 23208060301.

It is an interprime number because it is at equal distance from previous prime (1030608023191) and next prime (1030608023209).

It can be written as a sum of positive squares in 12 ways, for example, as 6115865616 + 1024492157584 = 78204^2 + 1012172^2 .

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 (1030608023209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 484079736 + ... + 484081864.

Almost surely, 2^{1030608023200} is an apocalyptic number.

1030608023200 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 1030608023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498084546140).

1030608023200 is an abundant number, since it is smaller than the sum of its proper divisors (1965561069080).

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

1030608023200 is a wasteful number, since it uses less digits than its factorization.

1030608023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 1030608023200 in words is "one trillion, thirty billion, six hundred eight million, twenty-three thousand, two hundred".