4334212452000 has 384 divisors, whose sum is σ = 14452915276800. Its totient is φ = 1135148160000.

The previous prime is 4334212451981. The next prime is 4334212452043. The reversal of 4334212452000 is 2542124334.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 1027305891 + ... + 1027310109.

It is an arithmetic number, because the mean of its divisors is an integer number (37637800200).

Almost surely, 2^{4334212452000} is an apocalyptic number.

4334212452000 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 4334212452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7226457638400).

4334212452000 is an abundant number, since it is smaller than the sum of its proper divisors (10118702824800).

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

4334212452000 is a wasteful number, since it uses less digits than its factorization.

4334212452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5757 (or 5739 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 4334212452000 its reverse (2542124334), we get a palindrome (4336754576334).

The spelling of 4334212452000 in words is "four trillion, three hundred thirty-four billion, two hundred twelve million, four hundred fifty-two thousand".