4951744000 has 240 divisors, whose sum is σ = 14372495280. Its totient is φ = 1696665600.

The previous prime is 4951743971. The next prime is 4951744001. The reversal of 4951744000 is 4471594.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4951744001) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3135211 + ... + 3136789.

It is an arithmetic number, because the mean of its divisors is an integer number (59885397).

Almost surely, 2^4951744000 is an apocalyptic number.

4951744000 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 4951744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7186247640).

4951744000 is an abundant number, since it is smaller than the sum of its proper divisors (9420751280).

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

4951744000 is an equidigital number, since it uses as much as digits as its factorization.

4951744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 4951744000 is about 70368.6293741750. The cubic root of 4951744000 is about 1704.4570471266.

The spelling of 4951744000 in words is "four billion, nine hundred fifty-one million, seven hundred forty-four thousand".