4909715328000 has 1056 divisors, whose sum is σ = 20116766404800. Its totient is φ = 1056138854400.

The previous prime is 4909715327971. The next prime is 4909715328013. The reversal of 4909715328000 is 8235179094.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319864326 + ... + 319879674.

Almost surely, 2^{4909715328000} is an apocalyptic number.

4909715328000 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 4909715328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10058383202400).

4909715328000 is an abundant number, since it is smaller than the sum of its proper divisors (15207051076800).

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

4909715328000 is a wasteful number, since it uses less digits than its factorization.

4909715328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15418 (or 15383 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 4909715328000 in words is "four trillion, nine hundred nine billion, seven hundred fifteen million, three hundred twenty-eight thousand".