1301245440 has 320 divisors, whose sum is σ = 4622061312. Its totient is φ = 309657600.

The previous prime is 1301245417. The next prime is 1301245441. The reversal of 1301245440 is 445421031.

1301245440 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (320).

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 1301245440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301245441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6166935 + ... + 6167145.

Almost surely, 2^1301245440 is an apocalyptic number.

1301245440 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 1301245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311030656).

1301245440 is an abundant number, since it is smaller than the sum of its proper divisors (3320815872).

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

1301245440 is a wasteful number, since it uses less digits than its factorization.

1301245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1301245440 is about 36072.7797653577. The cubic root of 1301245440 is about 1091.7413011408.

Adding to 1301245440 its reverse (445421031), we get a palindrome (1746666471).

The spelling of 1301245440 in words is "one billion, three hundred one million, two hundred forty-five thousand, four hundred forty".