4901757120 has 504 divisors, whose sum is σ = 18983620656. Its totient is φ = 1203351552.

The previous prime is 4901757109. The next prime is 4901757121. The reversal of 4901757120 is 217571094.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4901757121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13141254 + ... + 13141626.

It is an arithmetic number, because the mean of its divisors is an integer number (37665914).

Almost surely, 2^4901757120 is an apocalyptic number.

4901757120 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 4901757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9491810328).

4901757120 is an abundant number, since it is smaller than the sum of its proper divisors (14081863536).

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

4901757120 is a wasteful number, since it uses less digits than its factorization.

4901757120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 4901757120 is about 70012.5497321730. The cubic root of 4901757120 is about 1698.7022529451.

The spelling of 4901757120 in words is "four billion, nine hundred one million, seven hundred fifty-seven thousand, one hundred twenty".