1301120440 has 64 divisors (see below), whose sum is σ = 2982640320. Its totient is φ = 510720000.

The previous prime is 1301120413. The next prime is 1301120453. The reversal of 1301120440 is 440211031.

It is a congruent number.

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, 683490 + ... + 685390.

It is an arithmetic number, because the mean of its divisors is an integer number (46603755).

Almost surely, 2^1301120440 is an apocalyptic number.

1301120440 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 1301120440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491320160).

1301120440 is an abundant number, since it is smaller than the sum of its proper divisors (1681519880).

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

1301120440 is a wasteful number, since it uses less digits than its factorization.

1301120440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1301120440 is about 36071.0471153805. The cubic root of 1301120440 is about 1091.7063418040.

Adding to 1301120440 its reverse (440211031), we get a palindrome (1741331471).

The spelling of 1301120440 in words is "one billion, three hundred one million, one hundred twenty thousand, four hundred forty".