1099939488400 has 135 divisors (see below), whose sum is σ = 2710749863163. Its totient is φ = 428909068800.

The previous prime is 1099939488379. The next prime is 1099939488413. The reversal of 1099939488400 is 48849399901.

The square root of 1099939488400 is 1048780.

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

It can be written as a sum of positive squares in 4 ways, for example, as 462982263184 + 636957225216 = 680428^2 + 798096^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 859998961 + ... + 860000239.

Almost surely, 2^{1099939488400} is an apocalyptic number.

1099939488400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1099939488400 is the 1048780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1099939488400

1099939488400 is an abundant number, since it is smaller than the sum of its proper divisors (1610810374763).

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

1099939488400 is an frugal number, since it uses more digits than its factorization.

1099939488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 1327 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 64.

Multiplying 1099939488400 by its sum of digits (64), we get a square (70396127257600 = 8390240²).

The spelling of 1099939488400 in words is "one trillion, ninety-nine billion, nine hundred thirty-nine million, four hundred eighty-eight thousand, four hundred".