4126484800 has 168 divisors, whose sum is σ = 10816986240. Its totient is φ = 1543987200.

The previous prime is 4126484779. The next prime is 4126484807. The reversal of 4126484800 is 84846214.

4126484800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 4126484800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4126484807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5738841 + ... + 5739559.

Almost surely, 2^4126484800 is an apocalyptic number.

4126484800 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 4126484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408493120).

4126484800 is an abundant number, since it is smaller than the sum of its proper divisors (6690501440).

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

4126484800 is a wasteful number, since it uses less digits than its factorization.

4126484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 4126484800 is about 64237.7210056521. The cubic root of 4126484800 is about 1603.9595680548.

The spelling of 4126484800 in words is "four billion, one hundred twenty-six million, four hundred eighty-four thousand, eight hundred".