1305614460140 has 96 divisors (see below), whose sum is σ = 2874013384704. Its totient is φ = 497784994560.

The previous prime is 1305614460133. The next prime is 1305614460181. The reversal of 1305614460140 is 410644165031.

It is a self number, because there is not a number n which added to its sum of digits gives 1305614460140.

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, 6564437 + ... + 6760403.

It is an arithmetic number, because the mean of its divisors is an integer number (29937639424).

Almost surely, 2^{1305614460140} is an apocalyptic number.

1305614460140 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 1305614460140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437006692352).

1305614460140 is an abundant number, since it is smaller than the sum of its proper divisors (1568398924564).

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

1305614460140 is a wasteful number, since it uses less digits than its factorization.

1305614460140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196207 (or 196205 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 1305614460140 in words is "one trillion, three hundred five billion, six hundred fourteen million, four hundred sixty thousand, one hundred forty".