4999606416000 has 3072 divisors, whose sum is σ = 22797186048000. Its totient is φ = 1086375628800.

The previous prime is 4999606415987. The next prime is 4999606416031. The reversal of 4999606416000 is 6146069994.

4999606416000 is a `hidden beast` number, since 499 + 96 + 0 + 6 + 4 + 1 + 60 + 0 + 0 = 666.

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

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 383 ways as a sum of consecutive naturals, for example, 30672431919 + ... + 30672432081.

It is an arithmetic number, because the mean of its divisors is an integer number (7420959000).

Almost surely, 2^{4999606416000} is an apocalyptic number.

4999606416000 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 4999606416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398593024000).

4999606416000 is an abundant number, since it is smaller than the sum of its proper divisors (17797579632000).

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

4999606416000 is an equidigital number, since it uses as much as digits as its factorization.

4999606416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 4999606416000 in words is "four trillion, nine hundred ninety-nine billion, six hundred six million, four hundred sixteen thousand".