1351719040 has 128 divisors (see below), whose sum is σ = 3812613120. Its totient is φ = 448450560.

The previous prime is 1351719023. The next prime is 1351719043. The reversal of 1351719040 is 409171531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 1351718993 and 1351719011.

It is not an unprimeable number, because it can be changed into a prime (1351719043) 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, 134014 + ... + 143746.

It is an arithmetic number, because the mean of its divisors is an integer number (29786040).

Almost surely, 2^1351719040 is an apocalyptic number.

1351719040 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 1351719040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906306560).

1351719040 is an abundant number, since it is smaller than the sum of its proper divisors (2460894080).

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

1351719040 is an equidigital number, since it uses as much as digits as its factorization.

1351719040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790 (or 9778 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 1351719040 is about 36765.7318708604. The cubic root of 1351719040 is about 1105.6783615432.

The spelling of 1351719040 in words is "one billion, three hundred fifty-one million, seven hundred nineteen thousand, forty".