4951059120 has 480 divisors, whose sum is σ = 20407027200. Its totient is φ = 1080718848.

The previous prime is 4951059103. The next prime is 4951059137. The reversal of 4951059120 is 219501594.

4951059120 is a `hidden beast` number, since 49 + 5 + 1 + 0 + 591 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4951059103) and next prime (4951059137).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7998171 + ... + 7998789.

It is an arithmetic number, because the mean of its divisors is an integer number (42514640).

Almost surely, 2^4951059120 is an apocalyptic number.

4951059120 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 4951059120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10203513600).

4951059120 is an abundant number, since it is smaller than the sum of its proper divisors (15455968080).

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

4951059120 is a wasteful number, since it uses less digits than its factorization.

4951059120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 4951059120 is about 70363.7628328673. The cubic root of 4951059120 is about 1704.3784618601.

The spelling of 4951059120 in words is "four billion, nine hundred fifty-one million, fifty-nine thousand, one hundred twenty".