4229366400 has 1008 divisors, whose sum is σ = 18714597390. Its totient is φ = 940584960.

The previous prime is 4229366381. The next prime is 4229366429. The reversal of 4229366400 is 46639224.

4229366400 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 3 + 6 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3843008064 + 386358336 = 61992^2 + 19656^2 .

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 114307182 + ... + 114307218.

Almost surely, 2^4229366400 is an apocalyptic number.

4229366400 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 4229366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9357298695).

4229366400 is an abundant number, since it is smaller than the sum of its proper divisors (14485230990).

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

4229366400 is an equidigital number, since it uses as much as digits as its factorization.

4229366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4229366400 is about 65033.5790188423. The cubic root of 4229366400 is about 1617.1802801190.

The spelling of 4229366400 in words is "four billion, two hundred twenty-nine million, three hundred sixty-six thousand, four hundred".