1792385440000 has 135 divisors (see below), whose sum is σ = 4472116766887. Its totient is φ = 716739968000.

The previous prime is 1792385439979. The next prime is 1792385440049. The reversal of 1792385440000 is 445832971.

The square root of 1792385440000 is 1338800.

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

It can be written as a sum of positive squares in 2 ways, for example, as 140523018496 + 1651862421504 = 374864^2 + 1285248^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 535518327 + ... + 535521673.

Almost surely, 2^{1792385440000} is an apocalyptic number.

1792385440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1792385440000 is the 1338800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1792385440000

1792385440000 is an abundant number, since it is smaller than the sum of its proper divisors (2679731326887).

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

1792385440000 is an frugal number, since it uses more digits than its factorization.

1792385440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6730 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 1792385440000 in words is "one trillion, seven hundred ninety-two billion, three hundred eighty-five million, four hundred forty thousand".