1048456729600 has 528 divisors, whose sum is σ = 3125276540928. Its totient is φ = 340963983360.

The previous prime is 1048456729553. The next prime is 1048456729627. The reversal of 1048456729600 is 69276548401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 523442199 + ... + 523444201.

Almost surely, 2^{1048456729600} is an apocalyptic number.

1048456729600 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 1048456729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562638270464).

1048456729600 is an abundant number, since it is smaller than the sum of its proper divisors (2076819811328).

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

1048456729600 is a wasteful number, since it uses less digits than its factorization.

1048456729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 1048456729600 in words is "one trillion, forty-eight billion, four hundred fifty-six million, seven hundred twenty-nine thousand, six hundred".