4519505376 has 384 divisors, whose sum is σ = 14631321600. Its totient is φ = 1351779840.

The previous prime is 4519505363. The next prime is 4519505423. The reversal of 4519505376 is 6735059154.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42238315 + ... + 42238421.

It is an arithmetic number, because the mean of its divisors is an integer number (38102400).

Almost surely, 2^4519505376 is an apocalyptic number.

4519505376 is the 54891-st pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4519505376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7315660800).

4519505376 is an abundant number, since it is smaller than the sum of its proper divisors (10111816224).

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

4519505376 is a wasteful number, since it uses less digits than its factorization.

4519505376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The square root of 4519505376 is about 67227.2666111006. The cubic root of 4519505376 is about 1653.3455689059.

The spelling of 4519505376 in words is "four billion, five hundred nineteen million, five hundred five thousand, three hundred seventy-six".