1030452796800 has 3072 divisors, whose sum is σ = 4878202060800. Its totient is φ = 207028224000.

The previous prime is 1030452796781. The next prime is 1030452796823. The reversal of 1030452796800 is 86972540301.

1030452796800 is a `hidden beast` number, since 1 + 0 + 30 + 4 + 527 + 96 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16892668770 + ... + 16892668830.

It is an arithmetic number, because the mean of its divisors is an integer number (1587956400).

It is a 1-persistent number, because it is pandigital, but 2⋅1030452796800 = 2060905593600 is not.

Almost surely, 2^{1030452796800} is an apocalyptic number.

1030452796800 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 1030452796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2439101030400).

1030452796800 is an abundant number, since it is smaller than the sum of its proper divisors (3847749264000).

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

1030452796800 is a wasteful number, since it uses less digits than its factorization.

1030452796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1030452796800 in words is "one trillion, thirty billion, four hundred fifty-two million, seven hundred ninety-six thousand, eight hundred".