4334142112000 has 288 divisors, whose sum is σ = 11741028455520. Its totient is φ = 1587570278400.

The previous prime is 4334142111973. The next prime is 4334142112019. The reversal of 4334142112000 is 2112414334.

It can be written as a sum of positive squares in 16 ways, for example, as 849140134144 + 3485001977856 = 921488^2 + 1866816^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 20020336 + ... + 20235664.

It is an arithmetic number, because the mean of its divisors is an integer number (40767459915).

Almost surely, 2^{4334142112000} is an apocalyptic number.

4334142112000 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 4334142112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5870514227760).

4334142112000 is an abundant number, since it is smaller than the sum of its proper divisors (7406886343520).

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

4334142112000 is a wasteful number, since it uses less digits than its factorization.

4334142112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215414 (or 215390 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 4334142112000 its reverse (2112414334), we get a palindrome (4336254526334).

The spelling of 4334142112000 in words is "four trillion, three hundred thirty-four billion, one hundred forty-two million, one hundred twelve thousand".