4659881391360 has 1152 divisors, whose sum is σ = 19464887070720. Its totient is φ = 1044696268800.

The previous prime is 4659881391299. The next prime is 4659881391367. The reversal of 4659881391360 is 631931889564.

4659881391360 is a `hidden beast` number, since 4 + 6 + 598 + 8 + 1 + 3 + 9 + 1 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4659881391367) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 236760720 + ... + 236780400.

It is an arithmetic number, because the mean of its divisors is an integer number (16896603360).

Almost surely, 2^{4659881391360} is an apocalyptic number.

4659881391360 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 4659881391360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9732443535360).

4659881391360 is an abundant number, since it is smaller than the sum of its proper divisors (14805005679360).

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

4659881391360 is a wasteful number, since it uses less digits than its factorization.

4659881391360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19772 (or 19752 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 4659881391360 in words is "four trillion, six hundred fifty-nine billion, eight hundred eighty-one million, three hundred ninety-one thousand, three hundred sixty".