4947951120 has 320 divisors, whose sum is σ = 18546432000. Its totient is φ = 1065996288.

The previous prime is 4947951119. The next prime is 4947951131. The reversal of 4947951120 is 211597494.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 12097476 + ... + 12097884.

It is an arithmetic number, because the mean of its divisors is an integer number (57957600).

Almost surely, 2^4947951120 is an apocalyptic number.

4947951120 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 4947951120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9273216000).

4947951120 is an abundant number, since it is smaller than the sum of its proper divisors (13598480880).

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

4947951120 is a wasteful number, since it uses less digits than its factorization.

4947951120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 4947951120 is about 70341.6741341859. The cubic root of 4947951120 is about 1704.0217491548.

The spelling of 4947951120 in words is "four billion, nine hundred forty-seven million, nine hundred fifty-one thousand, one hundred twenty".