4134875684640 has 576 divisors, whose sum is σ = 14168491747200. Its totient is φ = 1012312440832.

The previous prime is 4134875684593. The next prime is 4134875684677. The reversal of 4134875684640 is 464865784314.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1318097152 + ... + 1318100288.

It is an arithmetic number, because the mean of its divisors is an integer number (24598075950).

Almost surely, 2^{4134875684640} is an apocalyptic number.

4134875684640 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 4134875684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7084245873600).

4134875684640 is an abundant number, since it is smaller than the sum of its proper divisors (10033616062560).

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

4134875684640 is a wasteful number, since it uses less digits than its factorization.

4134875684640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 60.

The spelling of 4134875684640 in words is "four trillion, one hundred thirty-four billion, eight hundred seventy-five million, six hundred eighty-four thousand, six hundred forty".