4034686768320 has 896 divisors, whose sum is σ = 14803041060864. Its totient is φ = 923407220736.

The previous prime is 4034686768313. The next prime is 4034686768331. The reversal of 4034686768320 is 238676864304.

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, 1719081387 + ... + 1719083733.

It is an arithmetic number, because the mean of its divisors is an integer number (16521251184).

Almost surely, 2^{4034686768320} is an apocalyptic number.

4034686768320 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 4034686768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7401520530432).

4034686768320 is an abundant number, since it is smaller than the sum of its proper divisors (10768354292544).

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

4034686768320 is a wasteful number, since it uses less digits than its factorization.

4034686768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2559 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 4034686768320 in words is "four trillion, thirty-four billion, six hundred eighty-six million, seven hundred sixty-eight thousand, three hundred twenty".