1030248460800 has 1920 divisors, whose sum is σ = 4368782880000. Its totient is φ = 238639841280.

The previous prime is 1030248460789. The next prime is 1030248460807. The reversal of 1030248460800 is 80648420301.

1030248460800 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 2 + 48 + 4 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1030248460800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1030248460807) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6914419126 + ... + 6914419274.

It is an arithmetic number, because the mean of its divisors is an integer number (2275407750).

Almost surely, 2^{1030248460800} is an apocalyptic number.

1030248460800 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 1030248460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2184391440000).

1030248460800 is an abundant number, since it is smaller than the sum of its proper divisors (3338534419200).

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

1030248460800 is an equidigital number, since it uses as much as digits as its factorization.

1030248460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 1030248460800 in words is "one trillion, thirty billion, two hundred forty-eight million, four hundred sixty thousand, eight hundred".