4016077120 has 336 divisors, whose sum is σ = 11383182720. Its totient is φ = 1344245760.

The previous prime is 4016077073. The next prime is 4016077133. The reversal of 4016077120 is 217706104.

It is a super-2 number, since 2×4016077120² = 32257750867574988800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38990989 + ... + 38991091.

It is an arithmetic number, because the mean of its divisors is an integer number (33878520).

Almost surely, 2^4016077120 is an apocalyptic number.

4016077120 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 4016077120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5691591360).

4016077120 is an abundant number, since it is smaller than the sum of its proper divisors (7367105600).

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

4016077120 is a wasteful number, since it uses less digits than its factorization.

4016077120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 4016077120 is about 63372.5265395029. The cubic root of 4016077120 is about 1589.5249454305.

The spelling of 4016077120 in words is "four billion, sixteen million, seventy-seven thousand, one hundred twenty".