4188542400 has 840 divisors, whose sum is σ = 18597758080. Its totient is φ = 906992640.

The previous prime is 4188542387. The next prime is 4188542431. The reversal of 4188542400 is 42458814.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 220449591 + ... + 220449609.

Almost surely, 2^4188542400 is an apocalyptic number.

4188542400 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 4188542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9298879040).

4188542400 is an abundant number, since it is smaller than the sum of its proper divisors (14409215680).

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

4188542400 is an frugal number, since it uses more digits than its factorization.

4188542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 4188542400 is about 64718.9493116197. The cubic root of 4188542400 is about 1611.9601654268.

The spelling of 4188542400 in words is "four billion, one hundred eighty-eight million, five hundred forty-two thousand, four hundred".