1305142109440 has 144 divisors (see below), whose sum is σ = 3444999199488. Its totient is φ = 470691422208.

The previous prime is 1305142109431. The next prime is 1305142109441. The reversal of 1305142109440 is 449012415031.

It is a super-2 number, since 2×1305142109440² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1305142109396 and 1305142109405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305142109441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196504 + ... + 1627543.

It is an arithmetic number, because the mean of its divisors is an integer number (23923605552).

Almost surely, 2^{1305142109440} is an apocalyptic number.

1305142109440 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 1305142109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722499599744).

1305142109440 is an abundant number, since it is smaller than the sum of its proper divisors (2139857090048).

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

1305142109440 is a wasteful number, since it uses less digits than its factorization.

1305142109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824124 (or 1824110 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 1305142109440 in words is "one trillion, three hundred five billion, one hundred forty-two million, one hundred nine thousand, four hundred forty".