4134132524004 has 384 divisors, whose sum is σ = 12280439808000. Its totient is φ = 1055288881152.

The previous prime is 4134132523933. The next prime is 4134132524021. The reversal of 4134132524004 is 4004252314314.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1270866042 + ... + 1270869294.

It is an arithmetic number, because the mean of its divisors is an integer number (31980312000).

Almost surely, 2^{4134132524004} 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 4134132524004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140219904000).

4134132524004 is an abundant number, since it is smaller than the sum of its proper divisors (8146307283996).

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

4134132524004 is a wasteful number, since it uses less digits than its factorization.

4134132524004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 4134132524004 its reverse (4004252314314), we get a palindrome (8138384838318).

The spelling of 4134132524004 in words is "four trillion, one hundred thirty-four billion, one hundred thirty-two million, five hundred twenty-four thousand, four".