4835985120 has 240 divisors, whose sum is σ = 17619009408. Its totient is φ = 1247892480.

The previous prime is 4835985101. The next prime is 4835985173. The reversal of 4835985120 is 215895384.

4835985120 is a `hidden beast` number, since 4 + 8 + 3 + 598 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4835985120² = 46773504161722828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 395742 + ... + 407778.

Almost surely, 2^4835985120 is an apocalyptic number.

4835985120 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 4835985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8809504704).

4835985120 is an abundant number, since it is smaller than the sum of its proper divisors (12783024288).

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

4835985120 is a wasteful number, since it uses less digits than its factorization.

4835985120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12095 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 4835985120 is about 69541.2476160732. The cubic root of 4835985120 is about 1691.0702602974.

The spelling of 4835985120 in words is "four billion, eight hundred thirty-five million, nine hundred eighty-five thousand, one hundred twenty".