4116462720 has 384 divisors, whose sum is σ = 14293480320. Its totient is φ = 1005649920.

The previous prime is 4116462673. The next prime is 4116462731. The reversal of 4116462720 is 272646114.

It is a tau number, because it is divible by the number of its divisors (384).

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, 42437712 + ... + 42437808.

It is an arithmetic number, because the mean of its divisors is an integer number (37222605).

Almost surely, 2^4116462720 is an apocalyptic number.

4116462720 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 4116462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7146740160).

4116462720 is an abundant number, since it is smaller than the sum of its proper divisors (10177017600).

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

4116462720 is a wasteful number, since it uses less digits than its factorization.

4116462720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 4116462720 is about 64159.6658345413. The cubic root of 4116462720 is about 1602.6599919926.

The spelling of 4116462720 in words is "four billion, one hundred sixteen million, four hundred sixty-two thousand, seven hundred twenty".