1337113440 has 384 divisors, whose sum is σ = 5220028800. Its totient is φ = 317399040.

The previous prime is 1337113403. The next prime is 1337113493. The reversal of 1337113440 is 443117331.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1628230 + ... + 1629050.

It is an arithmetic number, because the mean of its divisors is an integer number (13593825).

Almost surely, 2^1337113440 is an apocalyptic number.

1337113440 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 1337113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2610014400).

1337113440 is an abundant number, since it is smaller than the sum of its proper divisors (3882915360).

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

1337113440 is a wasteful number, since it uses less digits than its factorization.

1337113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1337113440 is about 36566.5617743862. The cubic root of 1337113440 is about 1101.6815713207.

The spelling of 1337113440 in words is "one billion, three hundred thirty-seven million, one hundred thirteen thousand, four hundred forty".