4905985440000 has 720 divisors, whose sum is σ = 17412499966400. Its totient is φ = 1222262784000.

The previous prime is 4905985439989. The next prime is 4905985440011. The reversal of 4905985440000 is 445895094.

It is an interprime number because it is at equal distance from previous prime (4905985439989) and next prime (4905985440011).

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

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 79 ways as a sum of consecutive naturals, for example, 665756316 + ... + 665763684.

Almost surely, 2^{4905985440000} is an apocalyptic number.

4905985440000 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 4905985440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8706249983200).

4905985440000 is an abundant number, since it is smaller than the sum of its proper divisors (12506514526400).

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

4905985440000 is an equidigital number, since it uses as much as digits as its factorization.

4905985440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7500 (or 7471 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 4905985440000 in words is "four trillion, nine hundred five billion, nine hundred eighty-five million, four hundred forty thousand".