4488422400 has 1188 divisors, whose sum is σ = 21065693376. Its totient is φ = 892108800.

The previous prime is 4488422357. The next prime is 4488422401. The reversal of 4488422400 is 42248844.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4488422401) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 195148789 + ... + 195148811.

Almost surely, 2^4488422400 is an apocalyptic number.

4488422400 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 4488422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10532846688).

4488422400 is an abundant number, since it is smaller than the sum of its proper divisors (16577270976).

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

4488422400 is a wasteful number, since it uses less digits than its factorization.

4488422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The square root of 4488422400 is about 66995.6894135735. The cubic root of 4488422400 is about 1649.5465420574.

The spelling of 4488422400 in words is "four billion, four hundred eighty-eight million, four hundred twenty-two thousand, four hundred".