4177216416 has 48 divisors (see below), whose sum is σ = 10975795488. Its totient is φ = 1391059200.

The previous prime is 4177216399. The next prime is 4177216441. The reversal of 4177216416 is 6146127714.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81351 + ... + 122361.

It is an arithmetic number, because the mean of its divisors is an integer number (228662406).

Almost surely, 2^4177216416 is an apocalyptic number.

It is an amenable number.

4177216416 is an abundant number, since it is smaller than the sum of its proper divisors (6798579072).

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

4177216416 is a wasteful number, since it uses less digits than its factorization.

4177216416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42085 (or 42077 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 4177216416 is about 64631.3887828507. The cubic root of 4177216416 is about 1610.5059192176.

The spelling of 4177216416 in words is "four billion, one hundred seventy-seven million, two hundred sixteen thousand, four hundred sixteen".