4163430400 has 144 divisors (see below), whose sum is σ = 10396795500. Its totient is φ = 1653473280.

The previous prime is 4163430391. The next prime is 4163430433. The reversal of 4163430400 is 40343614.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1351885824 + 2811544576 = 36768^2 + 53024^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11929426 + ... + 11929774.

Almost surely, 2^4163430400 is an apocalyptic number.

4163430400 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 4163430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198397750).

4163430400 is an abundant number, since it is smaller than the sum of its proper divisors (6233365100).

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

4163430400 is a wasteful number, since it uses less digits than its factorization.

4163430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 4163430400 is about 64524.6495534846. The cubic root of 4163430400 is about 1608.7322556201.

The spelling of 4163430400 in words is "four billion, one hundred sixty-three million, four hundred thirty thousand, four hundred".