1404975289000 has 48 divisors (see below), whose sum is σ = 3287729888820. Its totient is φ = 561975122400.

The previous prime is 1404975288989. The next prime is 1404975289009. The reversal of 1404975289000 is 9825794041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 949763295364 + 455211993636 = 974558^2 + 674694^2 .

It is not an unprimeable number, because it can be changed into a prime (1404975289009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37464259 + ... + 37501741.

Almost surely, 2^{1404975289000} is an apocalyptic number.

1404975289000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1404975289000 is an abundant number, since it is smaller than the sum of its proper divisors (1882754599820).

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

1404975289000 is an frugal number, since it uses more digits than its factorization.

1404975289000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74987 (or 37490 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 1404975289000 in words is "one trillion, four hundred four billion, nine hundred seventy-five million, two hundred eighty-nine thousand".