4914976320000 has 900 divisors, whose sum is σ = 18414197215986. Its totient is φ = 1310100480000.

The previous prime is 4914976319977. The next prime is 4914976320013. The reversal of 4914976320000 is 236794194.

It is a happy number.

4914976320000 is a `hidden beast` number, since 4 + 9 + 1 + 4 + 9 + 7 + 632 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 168782932224 + 4746193387776 = 410832^2 + 2178576^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2099518830 + ... + 2099521170.

Almost surely, 2^{4914976320000} is an apocalyptic number.

4914976320000 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 4914976320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9207098607993).

4914976320000 is an abundant number, since it is smaller than the sum of its proper divisors (13499220895986).

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

4914976320000 is an frugal number, since it uses more digits than its factorization.

4914976320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 4914976320000 in words is "four trillion, nine hundred fourteen billion, nine hundred seventy-six million, three hundred twenty thousand".