229942238400 has 672 divisors, whose sum is σ = 976113953280. Its totient is φ = 51562967040.

The previous prime is 229942238359. The next prime is 229942238413. The reversal of 229942238400 is 4832249922.

229942238400 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 4 + 2 + 238 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16020027 + ... + 16034373.

Almost surely, 2^229942238400 is an apocalyptic number.

229942238400 is a gapful number since it is divisible by the number (20) 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 229942238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488056976640).

229942238400 is an abundant number, since it is smaller than the sum of its proper divisors (746171714880).

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

229942238400 is a wasteful number, since it uses less digits than its factorization.

229942238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14438 (or 14417 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 229942238400 in words is "two hundred twenty-nine billion, nine hundred forty-two million, two hundred thirty-eight thousand, four hundred".