1404241956 has 108 divisors (see below), whose sum is σ = 4070059812. Its totient is φ = 406628352.

The previous prime is 1404241901. The next prime is 1404241961. The reversal of 1404241956 is 6591424041.

1404241956 is a `hidden beast` number, since 1 + 40 + 424 + 195 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 4284900 + 1399957056 = 2070^2 + 37416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1404241956.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96640 + ... + 110216.

It is an arithmetic number, because the mean of its divisors is an integer number (37685739).

Almost surely, 2^1404241956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404241956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035029906).

1404241956 is an abundant number, since it is smaller than the sum of its proper divisors (2665817856).

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

1404241956 is a wasteful number, since it uses less digits than its factorization.

1404241956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13630 (or 13612 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1404241956 is about 37473.2165152659. The cubic root of 1404241956 is about 1119.8176669594.

Adding to 1404241956 its reverse (6591424041), we get a palindrome (7995665997).

The spelling of 1404241956 in words is "one billion, four hundred four million, two hundred forty-one thousand, nine hundred fifty-six".