4849635840000 has 1300 divisors, whose sum is σ = 18921910625376. Its totient is φ = 1104273408000.

The previous prime is 4849635839999. The next prime is 4849635840029. The reversal of 4849635840000 is 485369484.

It is a super-2 number, since 2×4849635840000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 18439679869 + ... + 18439680131.

Almost surely, 2^{4849635840000} is an apocalyptic number.

4849635840000 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 4849635840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9460955312688).

4849635840000 is an abundant number, since it is smaller than the sum of its proper divisors (14072274785376).

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

4849635840000 is an frugal number, since it uses more digits than its factorization.

4849635840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 4849635840000 in words is "four trillion, eight hundred forty-nine billion, six hundred thirty-five million, eight hundred forty thousand".