4148224080 has 640 divisors, whose sum is σ = 17854857216. Its totient is φ = 768614400.

The previous prime is 4148224057. The next prime is 4148224099. The reversal of 4148224080 is 804228414.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 127 ways as a sum of consecutive naturals, for example, 7447162 + ... + 7447718.

Almost surely, 2^4148224080 is an apocalyptic number.

4148224080 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 4148224080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8927428608).

4148224080 is an abundant number, since it is smaller than the sum of its proper divisors (13706633136).

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

4148224080 is a wasteful number, since it uses less digits than its factorization.

4148224080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 4148224080 is about 64406.7083462585. The cubic root of 4148224080 is about 1606.7713133135.

The spelling of 4148224080 in words is "four billion, one hundred forty-eight million, two hundred twenty-four thousand, eighty".