4133214111420 has 144 divisors (see below), whose sum is σ = 12578366193120. Its totient is φ = 1098592892928.

The previous prime is 4133214111413. The next prime is 4133214111461. The reversal of 4133214111420 is 241114123314.

It is a happy number.

4133214111420 is a `hidden beast` number, since 4 + 13 + 3 + 214 + 1 + 11 + 420 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184433176 + ... + 184455584.

It is an arithmetic number, because the mean of its divisors is an integer number (87349765230).

Almost surely, 2^{4133214111420} 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 4133214111420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289183096560).

4133214111420 is an abundant number, since it is smaller than the sum of its proper divisors (8445152081700).

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

4133214111420 is a wasteful number, since it uses less digits than its factorization.

4133214111420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25724 (or 25719 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 4133214111420 its reverse (241114123314), we get a palindrome (4374328234734).

The spelling of 4133214111420 in words is "four trillion, one hundred thirty-three billion, two hundred fourteen million, one hundred eleven thousand, four hundred twenty".