1309838040 has 576 divisors, whose sum is σ = 5441679360. Its totient is φ = 277136640.

The previous prime is 1309838021. The next prime is 1309838053. The reversal of 1309838040 is 408389031.

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

It is a junction number, because it is equal to n+sod(n) for n = 1309837986 and 1309838004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42252825 + ... + 42252855.

It is an arithmetic number, because the mean of its divisors is an integer number (9447360).

Almost surely, 2^1309838040 is an apocalyptic number.

1309838040 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 1309838040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720839680).

1309838040 is an abundant number, since it is smaller than the sum of its proper divisors (4131841320).

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

1309838040 is an equidigital number, since it uses as much as digits as its factorization.

1309838040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1309838040 is about 36191.6846803240. The cubic root of 1309838040 is about 1094.1390868664.

The spelling of 1309838040 in words is "one billion, three hundred nine million, eight hundred thirty-eight thousand, forty".