1346130240 has 448 divisors, whose sum is σ = 5543946240. Its totient is φ = 268738560.

The previous prime is 1346130211. The next prime is 1346130283. The reversal of 1346130240 is 420316431.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1346130240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1659435 + ... + 1660245.

It is an arithmetic number, because the mean of its divisors is an integer number (12374880).

Almost surely, 2^1346130240 is an apocalyptic number.

1346130240 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 1346130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2771973120).

1346130240 is an abundant number, since it is smaller than the sum of its proper divisors (4197816000).

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

1346130240 is a wasteful number, since it uses less digits than its factorization.

1346130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1346130240 is about 36689.6475862061. The cubic root of 1346130240 is about 1104.1524154199.

Adding to 1346130240 its reverse (420316431), we get a palindrome (1766446671).

The spelling of 1346130240 in words is "one billion, three hundred forty-six million, one hundred thirty thousand, two hundred forty".