4496072788480 has 1440 divisors, whose sum is σ = 14786064881280. Its totient is φ = 1295917056000.

The previous prime is 4496072788411. The next prime is 4496072788481. The reversal of 4496072788480 is 848872706944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4496072788481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29775316405 + ... + 29775316555.

It is an arithmetic number, because the mean of its divisors is an integer number (10268100612).

Almost surely, 2^{4496072788480} is an apocalyptic number.

4496072788480 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 4496072788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393032440640).

4496072788480 is an abundant number, since it is smaller than the sum of its proper divisors (10289992092800).

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

4496072788480 is a wasteful number, since it uses less digits than its factorization.

4496072788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 173408256, while the sum is 67.

The spelling of 4496072788480 in words is "four trillion, four hundred ninety-six billion, seventy-two million, seven hundred eighty-eight thousand, four hundred eighty".