4123272480 has 192 divisors, whose sum is σ = 13891264128. Its totient is φ = 1024409600.

The previous prime is 4123272473. The next prime is 4123272493. The reversal of 4123272480 is 842723214.

It is a happy 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 31 ways as a sum of consecutive naturals, for example, 821659 + ... + 826661.

It is an arithmetic number, because the mean of its divisors is an integer number (72350334).

Almost surely, 2^4123272480 is an apocalyptic number.

4123272480 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 4123272480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945632064).

4123272480 is an abundant number, since it is smaller than the sum of its proper divisors (9767991648).

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

4123272480 is a wasteful number, since it uses less digits than its factorization.

4123272480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5139 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 4123272480 is about 64212.7127600135. The cubic root of 4123272480 is about 1603.5432517289.

Adding to 4123272480 its reverse (842723214), we get a palindrome (4965995694).

The spelling of 4123272480 in words is "four billion, one hundred twenty-three million, two hundred seventy-two thousand, four hundred eighty".