1404073324096 has 63 divisors (see below), whose sum is σ = 2826291021651. Its totient is φ = 692078459904.

The previous prime is 1404073324081. The next prime is 1404073324127. The reversal of 1404073324096 is 6904233704041.

The square root of 1404073324096 is 1184936.

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 672596814400 + 731476509696 = 820120^2 + 855264^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 692001610 + ... + 692003638.

Almost surely, 2^{1404073324096} is an apocalyptic number.

1404073324096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1404073324096 is the 1184936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404073324096

1404073324096 is an abundant number, since it is smaller than the sum of its proper divisors (1422217697555).

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

1404073324096 is an frugal number, since it uses more digits than its factorization.

1404073324096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4216 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 1404073324096 in words is "one trillion, four hundred four billion, seventy-three million, three hundred twenty-four thousand, ninety-six".