4601044378896 has 320 divisors, whose sum is σ = 14081475870720. Its totient is φ = 1266817167360.

The previous prime is 4601044378841. The next prime is 4601044378937. The reversal of 4601044378896 is 6988734401064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3856700476 + ... + 3856701668.

It is an arithmetic number, because the mean of its divisors is an integer number (44004612096).

Almost surely, 2^{4601044378896} 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 4601044378896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7040737935360).

4601044378896 is an abundant number, since it is smaller than the sum of its proper divisors (9480431491824).

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

4601044378896 is a wasteful number, since it uses less digits than its factorization.

4601044378896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 4601044378896 in words is "four trillion, six hundred one billion, forty-four million, three hundred seventy-eight thousand, eight hundred ninety-six".