4534042334200 has 288 divisors, whose sum is σ = 11700062755200. Its totient is φ = 1630629468160.

The previous prime is 4534042334167. The next prime is 4534042334219. The reversal of 4534042334200 is 24332404354.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1354656927 + ... + 1354660273.

It is an arithmetic number, because the mean of its divisors is an integer number (40625217900).

Almost surely, 2^{4534042334200} is an apocalyptic number.

4534042334200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4534042334200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850031377600).

4534042334200 is an abundant number, since it is smaller than the sum of its proper divisors (7166020421000).

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

4534042334200 is a wasteful number, since it uses less digits than its factorization.

4534042334200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4439 (or 4413 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 34.

Adding to 4534042334200 its reverse (24332404354), we get a palindrome (4558374738554).

The spelling of 4534042334200 in words is "four trillion, five hundred thirty-four billion, forty-two million, three hundred thirty-four thousand, two hundred".