4914493213680 has 240 divisors, whose sum is σ = 16651674224640. Its totient is φ = 1298897690112.

The previous prime is 4914493213631. The next prime is 4914493213687. The reversal of 4914493213680 is 863123944194.

4914493213680 is a `hidden beast` number, since 4 + 9 + 14 + 493 + 2 + 136 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4914493213687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36379701 + ... + 36514539.

It is an arithmetic number, because the mean of its divisors is an integer number (69381975936).

Almost surely, 2^{4914493213680} is an apocalyptic number.

4914493213680 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 4914493213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8325837112320).

4914493213680 is an abundant number, since it is smaller than the sum of its proper divisors (11737181010960).

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

4914493213680 is a wasteful number, since it uses less digits than its factorization.

4914493213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135308 (or 135299 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 4914493213680 in words is "four trillion, nine hundred fourteen billion, four hundred ninety-three million, two hundred thirteen thousand, six hundred eighty".