4134397001824 has 96 divisors (see below), whose sum is σ = 8629263901440. Its totient is φ = 1946417356800.

The previous prime is 4134397001803. The next prime is 4134397001837. The reversal of 4134397001824 is 4281007934314.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 95897457 + ... + 95940559.

It is an arithmetic number, because the mean of its divisors is an integer number (89888165640).

Almost surely, 2^{4134397001824} 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 4134397001824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314631950720).

4134397001824 is an abundant number, since it is smaller than the sum of its proper divisors (4494866899616).

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

4134397001824 is a wasteful number, since it uses less digits than its factorization.

4134397001824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45704 (or 45696 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 4134397001824 in words is "four trillion, one hundred thirty-four billion, three hundred ninety-seven million, one thousand, eight hundred twenty-four".