1204401440 has 96 divisors (see below), whose sum is σ = 3239139456. Its totient is φ = 418908160.

The previous prime is 1204401433. The next prime is 1204401481. The reversal of 1204401440 is 441044021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25604 + ... + 55356.

It is an arithmetic number, because the mean of its divisors is an integer number (33741036).

Almost surely, 2^1204401440 is an apocalyptic number.

1204401440 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 1204401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619569728).

1204401440 is an abundant number, since it is smaller than the sum of its proper divisors (2034738016).

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

1204401440 is a wasteful number, since it uses less digits than its factorization.

1204401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29802 (or 29794 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1204401440 is about 34704.4873179248. The cubic root of 1204401440 is about 1063.9562139254.

Adding to 1204401440 its reverse (441044021), we get a palindrome (1645445461).

The spelling of 1204401440 in words is "one billion, two hundred four million, four hundred one thousand, four hundred forty".