4109772480 has 224 divisors, whose sum is σ = 14854537728. Its totient is φ = 952934400.

The previous prime is 4109772431. The next prime is 4109772487. The reversal of 4109772480 is 842779014.

It is a happy number.

4109772480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4109772487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234420 + ... + 251340.

Almost surely, 2^4109772480 is an apocalyptic number.

4109772480 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 4109772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7427268864).

4109772480 is an abundant number, since it is smaller than the sum of its proper divisors (10744765248).

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

4109772480 is a wasteful number, since it uses less digits than its factorization.

4109772480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16975 (or 16965 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 4109772480 is about 64107.5072046948. The cubic root of 4109772480 is about 1601.7912854785.

The spelling of 4109772480 in words is "four billion, one hundred nine million, seven hundred seventy-two thousand, four hundred eighty".