4178665920 has 448 divisors, whose sum is σ = 15873984000. Its totient is φ = 917913600.

The previous prime is 4178665919. The next prime is 4178665937. The reversal of 4178665920 is 295668714.

It is a super-2 number, since 2×4178665920² = 34922497741938892800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4178665920.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8373831 + ... + 8374329.

It is an arithmetic number, because the mean of its divisors is an integer number (35433000).

Almost surely, 2^4178665920 is an apocalyptic number.

4178665920 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 4178665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936992000).

4178665920 is an abundant number, since it is smaller than the sum of its proper divisors (11695318080).

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

4178665920 is a wasteful number, since it uses less digits than its factorization.

4178665920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 4178665920 is about 64642.6014328013. The cubic root of 4178665920 is about 1610.6921807989.

The spelling of 4178665920 in words is "four billion, one hundred seventy-eight million, six hundred sixty-five thousand, nine hundred twenty".