1414442220345 has 192 divisors, whose sum is σ = 3113043148800. Its totient is φ = 577007608320.

The previous prime is 1414442220287. The next prime is 1414442220361. The reversal of 1414442220345 is 5430222444141.

1414442220345 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 442 + 2 + 203 + 4 + 5 = 666.

It is not a de Polignac number, because 1414442220345 - 2⁶ = 1414442220281 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149846136 + ... + 149855574.

It is an arithmetic number, because the mean of its divisors is an integer number (16213766400).

Almost surely, 2^{1414442220345} is an apocalyptic number.

1414442220345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1414442220345 is an abundant number, since it is smaller than the sum of its proper divisors (1698600928455).

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

1414442220345 is a wasteful number, since it uses less digits than its factorization.

1414442220345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10260 (or 10257 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 1414442220345 its reverse (5430222444141), we get a palindrome (6844664664486).

The spelling of 1414442220345 in words is "one trillion, four hundred fourteen billion, four hundred forty-two million, two hundred twenty thousand, three hundred forty-five".