4473376128 has 192 divisors, whose sum is σ = 13925227680. Its totient is φ = 1370234880.

The previous prime is 4473376111. The next prime is 4473376177. The reversal of 4473376128 is 8216733744.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4473376128² = 40022187965120544768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4207725 + ... + 4208787.

Almost surely, 2^4473376128 is an apocalyptic number.

4473376128 is a gapful number since it is divisible by the number (48) 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 4473376128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6962613840).

4473376128 is an abundant number, since it is smaller than the sum of its proper divisors (9451851552).

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

4473376128 is a wasteful number, since it uses less digits than its factorization.

4473376128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377 (or 1362 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 4473376128 is about 66883.3023108160. The cubic root of 4473376128 is about 1647.7012529132.

The spelling of 4473376128 in words is "four billion, four hundred seventy-three million, three hundred seventy-six thousand, one hundred twenty-eight".