334134141444 has 96 divisors (see below), whose sum is σ = 894646771200. Its totient is φ = 107783343360.

The previous prime is 334134141437. The next prime is 334134141457. The reversal of 334134141444 is 444141431433.

334134141444 is a `hidden beast` number, since 3 + 3 + 41 + 34 + 141 + 444 = 666.

It is a super-2 number, since 2×334134141444² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 334134141399 and 334134141408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81954 + ... + 821574.

It is an arithmetic number, because the mean of its divisors is an integer number (9319237200).

Almost surely, 2^334134141444 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 334134141444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447323385600).

334134141444 is an abundant number, since it is smaller than the sum of its proper divisors (560512629756).

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

334134141444 is a wasteful number, since it uses less digits than its factorization.

334134141444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739770 (or 739762 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 334134141444 its reverse (444141431433), we get a palindrome (778275572877).

The spelling of 334134141444 in words is "three hundred thirty-four billion, one hundred thirty-four million, one hundred forty-one thousand, four hundred forty-four".