214034000433444 has 72 divisors (see below), whose sum is σ = 541196423651520. Its totient is φ = 71322775214400.

The previous prime is 214034000433403. The next prime is 214034000433481. The reversal of 214034000433444 is 444334000430412.

214034000433444 is a `hidden beast` number, since 2 + 140 + 3 + 40 + 0 + 0 + 4 + 33 + 444 = 666.

It is a super-2 number, since 2×214034000433444² (a number of 29 digits) contains 22 as substring.

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 = 214034000433399 and 214034000433408.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2011336599 + ... + 2011443009.

It is an arithmetic number, because the mean of its divisors is an integer number (7516616995160).

Almost surely, 2^{214034000433444} is an apocalyptic number.

It is an amenable number.

214034000433444 is an abundant number, since it is smaller than the sum of its proper divisors (327162423218076).

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

214034000433444 is a wasteful number, since it uses less digits than its factorization.

214034000433444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123041 (or 123036 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 214034000433444 its reverse (444334000430412), we get a palindrome (658368000863856).

The spelling of 214034000433444 in words is "two hundred fourteen trillion, thirty-four billion, four hundred thirty-three thousand, four hundred forty-four".