424020241314 has 240 divisors, whose sum is σ = 1050246933120. Its totient is φ = 127450661760.

The previous prime is 424020241289. The next prime is 424020241321. The reversal of 424020241314 is 413142020424.

424020241314 is a `hidden beast` number, since 4 + 2 + 40 + 202 + 413 + 1 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 198046684 + ... + 198048824.

It is an arithmetic number, because the mean of its divisors is an integer number (4376028888).

Almost surely, 2^424020241314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424020241314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525123466560).

424020241314 is an abundant number, since it is smaller than the sum of its proper divisors (626226691806).

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

424020241314 is a wasteful number, since it uses less digits than its factorization.

424020241314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 424020241314 its reverse (413142020424), we get a palindrome (837162261738).

The spelling of 424020241314 in words is "four hundred twenty-four billion, twenty million, two hundred forty-one thousand, three hundred fourteen".