4914870618240 has 2560 divisors, whose sum is σ = 21335506790400. Its totient is φ = 1073073070080.

The previous prime is 4914870618167. The next prime is 4914870618293. The reversal of 4914870618240 is 428160784194.

4914870618240 is a `hidden beast` number, since 4 + 9 + 14 + 8 + 7 + 0 + 618 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 30152580399 + ... + 30152580561.

It is an arithmetic number, because the mean of its divisors is an integer number (8334182340).

Almost surely, 2^{4914870618240} is an apocalyptic number.

4914870618240 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 4914870618240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10667753395200).

4914870618240 is an abundant number, since it is smaller than the sum of its proper divisors (16420636172160).

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

4914870618240 is a wasteful number, since it uses less digits than its factorization.

4914870618240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 4914870618240 in words is "four trillion, nine hundred fourteen billion, eight hundred seventy million, six hundred eighteen thousand, two hundred forty".