4123708400 has 120 divisors (see below), whose sum is σ = 11482550784. Its totient is φ = 1393862400.

The previous prime is 4123708333. The next prime is 4123708409. The reversal of 4123708400 is 48073214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4123708409) by changing a digit.

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, 188429 + ... + 209171.

Almost surely, 2^4123708400 is an apocalyptic number.

4123708400 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 4123708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741275392).

4123708400 is an abundant number, since it is smaller than the sum of its proper divisors (7358842384).

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

4123708400 is a wasteful number, since it uses less digits than its factorization.

4123708400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20839 (or 20828 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 4123708400 is about 64216.1070137392. The cubic root of 4123708400 is about 1603.5997595914.

The spelling of 4123708400 in words is "four billion, one hundred twenty-three million, seven hundred eight thousand, four hundred".