4919509416960 has 2464 divisors, whose sum is σ = 20135050274304. Its totient is φ = 1146617856000.

The previous prime is 4919509416931. The next prime is 4919509416971. The reversal of 4919509416960 is 696149059194.

4919509416960 is a `hidden beast` number, since 4 + 9 + 1 + 9 + 509 + 4 + 1 + 69 + 60 = 666.

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 80647695330 + ... + 80647695390.

Almost surely, 2^{4919509416960} is an apocalyptic number.

4919509416960 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 4919509416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10067525137152).

4919509416960 is an abundant number, since it is smaller than the sum of its proper divisors (15215540857344).

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

4919509416960 is a wasteful number, since it uses less digits than its factorization.

4919509416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 4919509416960 in words is "four trillion, nine hundred nineteen billion, five hundred nine million, four hundred sixteen thousand, nine hundred sixty".