4423712400 has 480 divisors, whose sum is σ = 16566717440. Its totient is φ = 1119744000.

The previous prime is 4423712399. The next prime is 4423712401. The reversal of 4423712400 is 42173244.

It is an interprime number because it is at equal distance from previous prime (4423712399) and next prime (4423712401).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4423712401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24440310 + ... + 24440490.

Almost surely, 2^4423712400 is an apocalyptic number.

4423712400 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 4423712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283358720).

4423712400 is an abundant number, since it is smaller than the sum of its proper divisors (12143005040).

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

4423712400 is a wasteful number, since it uses less digits than its factorization.

4423712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4423712400 is about 66510.9945798437. The cubic root of 4423712400 is about 1641.5809165560.

Adding to 4423712400 its reverse (42173244), we get a palindrome (4465885644).

The spelling of 4423712400 in words is "four billion, four hundred twenty-three million, seven hundred twelve thousand, four hundred".