1048739846400 has 729 divisors, whose sum is σ = 3998945175043. Its totient is φ = 262164480000.

The previous prime is 1048739846299. The next prime is 1048739846419. The reversal of 1048739846400 is 46489378401.

The square root of 1048739846400 is 1024080.

It is a perfect power (a square), and thus also a powerful number.

1048739846400 is a `hidden beast` number, since 1 + 0 + 48 + 73 + 98 + 46 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24531077376 + 1024208769024 = 156624^2 + 1012032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4178246275 + ... + 4178246525.

Almost surely, 2^{1048739846400} is an apocalyptic number.

1048739846400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1048739846400 is the 1024080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1048739846400

1048739846400 is an abundant number, since it is smaller than the sum of its proper divisors (2950205328643).

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

1048739846400 is an equidigital number, since it uses as much as digits as its factorization.

1048739846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1048739846400 in words is "one trillion, forty-eight billion, seven hundred thirty-nine million, eight hundred forty-six thousand, four hundred".