4188920400 has 480 divisors, whose sum is σ = 17314606080. Its totient is φ = 942036480.

The previous prime is 4188920387. The next prime is 4188920413. The reversal of 4188920400 is 40298814.

It is an interprime number because it is at equal distance from previous prime (4188920387) and next prime (4188920413).

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 95 ways as a sum of consecutive naturals, for example, 5064787 + ... + 5065613.

It is an arithmetic number, because the mean of its divisors is an integer number (36072096).

Almost surely, 2^4188920400 is an apocalyptic number.

4188920400 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 4188920400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8657303040).

4188920400 is an abundant number, since it is smaller than the sum of its proper divisors (13125685680).

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

4188920400 is a wasteful number, since it uses less digits than its factorization.

4188920400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 4188920400 is about 64721.8695650860. The cubic root of 4188920400 is about 1612.0086550568.

The spelling of 4188920400 in words is "four billion, one hundred eighty-eight million, nine hundred twenty thousand, four hundred".