4134532332000 has 768 divisors, whose sum is σ = 16157148973056. Its totient is φ = 904550400000.

The previous prime is 4134532331999. The next prime is 4134532332023. The reversal of 4134532332000 is 2332354314.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 182520675 + ... + 182543325.

It is an arithmetic number, because the mean of its divisors is an integer number (21037954392).

Almost surely, 2^{4134532332000} is an apocalyptic number.

4134532332000 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 4134532332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078574486528).

4134532332000 is an abundant number, since it is smaller than the sum of its proper divisors (12022616641056).

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

4134532332000 is a wasteful number, since it uses less digits than its factorization.

4134532332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22780 (or 22762 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 4134532332000 its reverse (2332354314), we get a palindrome (4136864686314).

The spelling of 4134532332000 in words is "four trillion, one hundred thirty-four billion, five hundred thirty-two million, three hundred thirty-two thousand".