4909400064000 has 1216 divisors, whose sum is σ = 18844133068800. Its totient is φ = 1259864064000.

The previous prime is 4909400063989. The next prime is 4909400064157. The reversal of 4909400064000 is 4600049094.

4909400064000 is a `hidden beast` number, since 4 + 9 + 0 + 9 + 4 + 0 + 0 + 0 + 640 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 27426815911 + ... + 27426816089.

Almost surely, 2^{4909400064000} is an apocalyptic number.

4909400064000 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 4909400064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9422066534400).

4909400064000 is an abundant number, since it is smaller than the sum of its proper divisors (13934733004800).

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

4909400064000 is an frugal number, since it uses more digits than its factorization.

4909400064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 4909400064000 in words is "four trillion, nine hundred nine billion, four hundred million, sixty-four thousand".