4142012313420 has 192 divisors, whose sum is σ = 12927917882880. Its totient is φ = 1100971872000.

The previous prime is 4142012313419. The next prime is 4142012313449. The reversal of 4142012313420 is 243132102414.

4142012313420 is a `hidden beast` number, since 4 + 1 + 4 + 2 + 0 + 1 + 231 + 3 + 420 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216136759 + ... + 216155921.

It is an arithmetic number, because the mean of its divisors is an integer number (67332905640).

Almost surely, 2^{4142012313420} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142012313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6463958941440).

4142012313420 is an abundant number, since it is smaller than the sum of its proper divisors (8785905569460).

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

4142012313420 is a wasteful number, since it uses less digits than its factorization.

4142012313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20453 (or 20445 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4142012313420 its reverse (243132102414), we get a palindrome (4385144415834).

The spelling of 4142012313420 in words is "four trillion, one hundred forty-two billion, twelve million, three hundred thirteen thousand, four hundred twenty".