1311125440 has 112 divisors (see below), whose sum is σ = 3189792960. Its totient is φ = 513228800.

The previous prime is 1311125407. The next prime is 1311125449. The reversal of 1311125440 is 445211131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1311125449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3651981 + ... + 3652339.

Almost surely, 2^1311125440 is an apocalyptic number.

1311125440 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 1311125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594896480).

1311125440 is an abundant number, since it is smaller than the sum of its proper divisors (1878667520).

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

1311125440 is a wasteful number, since it uses less digits than its factorization.

1311125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1311125440 is about 36209.4661656313. The cubic root of 1311125440 is about 1094.4974348405.

Adding to 1311125440 its reverse (445211131), we get a palindrome (1756336571).

The spelling of 1311125440 in words is "one billion, three hundred eleven million, one hundred twenty-five thousand, four hundred forty".