1409112720 has 160 divisors (see below), whose sum is σ = 4867545600. Its totient is φ = 374685696.

The previous prime is 1409112707. The next prime is 1409112721. The reversal of 1409112720 is 272119041.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1409112721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 999376 + ... + 1000784.

It is an arithmetic number, because the mean of its divisors is an integer number (30422160).

Almost surely, 2^1409112720 is an apocalyptic number.

1409112720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1409112720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433772800).

1409112720 is an abundant number, since it is smaller than the sum of its proper divisors (3458432880).

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

1409112720 is a wasteful number, since it uses less digits than its factorization.

1409112720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1409112720 is about 37538.1501941691. The cubic root of 1409112720 is about 1121.1109087987.

The spelling of 1409112720 in words is "one billion, four hundred nine million, one hundred twelve thousand, seven hundred twenty".