1351260240 has 480 divisors, whose sum is σ = 5066342400. Its totient is φ = 296524800.

The previous prime is 1351260223. The next prime is 1351260299. The reversal of 1351260240 is 420621531.

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 1351260240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17104521 + ... + 17104599.

It is an arithmetic number, because the mean of its divisors is an integer number (10554880).

Almost surely, 2^1351260240 is an apocalyptic number.

1351260240 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 1351260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533171200).

1351260240 is an abundant number, since it is smaller than the sum of its proper divisors (3715082160).

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

1351260240 is a wasteful number, since it uses less digits than its factorization.

1351260240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1351260240 is about 36759.4918354430. The cubic root of 1351260240 is about 1105.5532510672.

Adding to 1351260240 its reverse (420621531), we get a palindrome (1771881771).

The spelling of 1351260240 in words is "one billion, three hundred fifty-one million, two hundred sixty thousand, two hundred forty".