1301352013440 has 448 divisors, whose sum is σ = 4825325903400. Its totient is φ = 335057264640.

The previous prime is 1301352013397. The next prime is 1301352013499. The reversal of 1301352013440 is 443102531031.

It is a happy number.

1301352013440 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 520 + 134 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1291350413376 + 10001600064 = 1136376^2 + 100008^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13482150 + ... + 13578330.

Almost surely, 2^{1301352013440} is an apocalyptic number.

1301352013440 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 1301352013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412662951700).

1301352013440 is an abundant number, since it is smaller than the sum of its proper divisors (3523973889960).

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

1301352013440 is an frugal number, since it uses more digits than its factorization.

1301352013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96247 (or 96220 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 1301352013440 its reverse (443102531031), we get a palindrome (1744454544471).

The spelling of 1301352013440 in words is "one trillion, three hundred one billion, three hundred fifty-two million, thirteen thousand, four hundred forty".