4949510607360 has 1280 divisors, whose sum is σ = 19618564331520. Its totient is φ = 1172744110080.

The previous prime is 4949510607329. The next prime is 4949510607373. The reversal of 4949510607360 is 637060159494.

4949510607360 is a `hidden beast` number, since 4 + 9 + 4 + 9 + 510 + 60 + 7 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a junction number, because it is equal to n+sod(n) for n = 4949510607297 and 4949510607306.

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 127 ways as a sum of consecutive naturals, for example, 6752401554 + ... + 6752402286.

It is an arithmetic number, because the mean of its divisors is an integer number (15327003384).

Almost surely, 2^{4949510607360} is an apocalyptic number.

4949510607360 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 4949510607360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9809282165760).

4949510607360 is an abundant number, since it is smaller than the sum of its proper divisors (14669053724160).

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

4949510607360 is a wasteful number, since it uses less digits than its factorization.

4949510607360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 4949510607360 in words is "four trillion, nine hundred forty-nine billion, five hundred ten million, six hundred seven thousand, three hundred sixty".