4402800230400 has 2400 divisors, whose sum is σ = 19823352318000. Its totient is φ = 951268147200.

The previous prime is 4402800230369. The next prime is 4402800230401. The reversal of 4402800230400 is 40320082044.

It is a happy number.

4402800230400 is a `hidden beast` number, since 4 + 4 + 0 + 28 + 0 + 0 + 230 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4402800230401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 151820697586 + ... + 151820697614.

Almost surely, 2^{4402800230400} is an apocalyptic number.

4402800230400 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 4402800230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9911676159000).

4402800230400 is an abundant number, since it is smaller than the sum of its proper divisors (15420552087600).

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

4402800230400 is an equidigital number, since it uses as much as digits as its factorization.

4402800230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 4402800230400 in words is "four trillion, four hundred two billion, eight hundred million, two hundred thirty thousand, four hundred".