4211334450144 has 72 divisors (see below), whose sum is σ = 12014992309320. Its totient is φ = 1399205553408.

The previous prime is 4211334450133. The next prime is 4211334450149. The reversal of 4211334450144 is 4410544331124.

It is a happy number.

4211334450144 is a `hidden beast` number, since 4 + 2 + 113 + 34 + 4 + 501 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4211334450099 and 4211334450108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4211334450149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23727039 + ... + 23903870.

It is an arithmetic number, because the mean of its divisors is an integer number (166874893185).

Almost surely, 2^{4211334450144} is an apocalyptic number.

It is an amenable number.

4211334450144 is an abundant number, since it is smaller than the sum of its proper divisors (7803657859176).

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

4211334450144 is a wasteful number, since it uses less digits than its factorization.

4211334450144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47631232 (or 47631221 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 4211334450144 its reverse (4410544331124), we get a palindrome (8621878781268).

The spelling of 4211334450144 in words is "four trillion, two hundred eleven billion, three hundred thirty-four million, four hundred fifty thousand, one hundred forty-four".