4314142142024 has 96 divisors (see below), whose sum is σ = 9598252204800. Its totient is φ = 1802011011840.

The previous prime is 4314142141961. The next prime is 4314142142083. The reversal of 4314142142024 is 4202412414134.

It is a super-2 number, since 2×4314142142024² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2666042 + ... + 3966870.

It is an arithmetic number, because the mean of its divisors is an integer number (99981793800).

Almost surely, 2^{4314142142024} is an apocalyptic number.

4314142142024 is a gapful number since it is divisible by the number (44) 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 4314142142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799126102400).

4314142142024 is an abundant number, since it is smaller than the sum of its proper divisors (5284110062776).

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

4314142142024 is a wasteful number, since it uses less digits than its factorization.

4314142142024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301095 (or 1301078 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4314142142024 its reverse (4202412414134), we get a palindrome (8516554556158).

The spelling of 4314142142024 in words is "four trillion, three hundred fourteen billion, one hundred forty-two million, one hundred forty-two thousand, twenty-four".