414243011120 has 20 divisors (see below), whose sum is σ = 963115001040. Its totient is φ = 165697204416.

The previous prime is 414243011107. The next prime is 414243011129. The reversal of 414243011120 is 21110342414.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (414243011129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2589018740 + ... + 2589018899.

It is an arithmetic number, because the mean of its divisors is an integer number (48155750052).

Almost surely, 2^414243011120 is an apocalyptic number.

414243011120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414243011120 is an abundant number, since it is smaller than the sum of its proper divisors (548871989920).

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

414243011120 is a wasteful number, since it uses less digits than its factorization.

414243011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178037652 (or 5178037646 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 414243011120 its reverse (21110342414), we get a palindrome (435353353534).

The spelling of 414243011120 in words is "four hundred fourteen billion, two hundred forty-three million, eleven thousand, one hundred twenty".