4014230324104 has 384 divisors, whose sum is σ = 10946486476800. Its totient is φ = 1338569971200.

The previous prime is 4014230324101. The next prime is 4014230324113.

4014230324104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4014230324104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (4014230324101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78637069 + ... + 78688099.

It is an arithmetic number, because the mean of its divisors is an integer number (28506475200).

Almost surely, 2^{4014230324104} is an apocalyptic number.

4014230324104 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 4014230324104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473243238400).

4014230324104 is an abundant number, since it is smaller than the sum of its proper divisors (6932256152696).

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

4014230324104 is a wasteful number, since it uses less digits than its factorization.

4014230324104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51145 (or 51130 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4014230 and 324104, that added together give a palindrome (4338334).

The spelling of 4014230324104 in words is "four trillion, fourteen billion, two hundred thirty million, three hundred twenty-four thousand, one hundred four".