4214134314124 has 48 divisors (see below), whose sum is σ = 9070345085760. Its totient is φ = 1671952988160.

The previous prime is 4214134314113. The next prime is 4214134314167.

4214134314124 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 4214134314124.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72538369 + ... + 72596440.

It is an arithmetic number, because the mean of its divisors is an integer number (188965522620).

Almost surely, 2^{4214134314124} is an apocalyptic number.

It is an amenable number.

4214134314124 is an abundant number, since it is smaller than the sum of its proper divisors (4856210771636).

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

4214134314124 is a wasteful number, since it uses less digits than its factorization.

4214134314124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145134898 (or 145134896 counting only the distinct ones).

The product of its digits is 36864, while the sum is 34.

The spelling of 4214134314124 in words is "four trillion, two hundred fourteen billion, one hundred thirty-four million, three hundred fourteen thousand, one hundred twenty-four".