1301431441440 has 192 divisors, whose sum is σ = 4440982896000. Its totient is φ = 320352095232.

The previous prime is 1301431441433. The next prime is 1301431441451. The reversal of 1301431441440 is 441441341031.

It is a super-2 number, since 2×1301431441440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1301431441398 and 1301431441407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437511 + ... + 1671609.

It is an arithmetic number, because the mean of its divisors is an integer number (23130119250).

Almost surely, 2^{1301431441440} is an apocalyptic number.

1301431441440 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 1301431441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220491448000).

1301431441440 is an abundant number, since it is smaller than the sum of its proper divisors (3139551454560).

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

1301431441440 is a wasteful number, since it uses less digits than its factorization.

1301431441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1234156 (or 1234122 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1301431441440 its reverse (441441341031), we get a palindrome (1742872782471).

The spelling of 1301431441440 in words is "one trillion, three hundred one billion, four hundred thirty-one million, four hundred forty-one thousand, four hundred forty".