4905069120 has 336 divisors, whose sum is σ = 19359969408. Its totient is φ = 1116610560.

The previous prime is 4905069119. The next prime is 4905069121. The reversal of 4905069120 is 219605094.

4905069120 is a `hidden beast` number, since 49 + 0 + 506 + 91 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (4905069119) and next prime (4905069121).

It is a tau number, because it is divible by the number of its divisors (336).

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 (4905069121) 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 47 ways as a sum of consecutive naturals, for example, 9414460 + ... + 9414980.

Almost surely, 2^4905069120 is an apocalyptic number.

4905069120 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 4905069120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9679984704).

4905069120 is an abundant number, since it is smaller than the sum of its proper divisors (14454900288).

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

4905069120 is a wasteful number, since it uses less digits than its factorization.

4905069120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 4905069120 is about 70036.1986404174. The cubic root of 4905069120 is about 1699.0847576305.

The spelling of 4905069120 in words is "four billion, nine hundred five million, sixty-nine thousand, one hundred twenty".