4123980400 has 120 divisors (see below), whose sum is σ = 10461830400. Its totient is φ = 1557907200.

The previous prime is 4123980397. The next prime is 4123980433. The reversal of 4123980400 is 40893214.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3274971 + ... + 3276229.

It is an arithmetic number, because the mean of its divisors is an integer number (87181920).

Almost surely, 2^4123980400 is an apocalyptic number.

4123980400 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 4123980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230915200).

4123980400 is an abundant number, since it is smaller than the sum of its proper divisors (6337850000).

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

4123980400 is a wasteful number, since it uses less digits than its factorization.

4123980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 4123980400 is about 64218.2248275363. The cubic root of 4123980400 is about 1603.6350166547.

The spelling of 4123980400 in words is "four billion, one hundred twenty-three million, nine hundred eighty thousand, four hundred".