999067244400 has 360 divisors, whose sum is σ = 3485223181440. Its totient is φ = 265025180160.

The previous prime is 999067244341. The next prime is 999067244401. The reversal of 999067244400 is 4442760999.

999067244400 is a `hidden beast` number, since 99 + 90 + 6 + 7 + 24 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999067244401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 700116487 + ... + 700117913.

It is an arithmetic number, because the mean of its divisors is an integer number (9681175504).

Almost surely, 2^999067244400 is an apocalyptic number.

999067244400 is a gapful number since it is divisible by the number (90) 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 999067244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742611590720).

999067244400 is an abundant number, since it is smaller than the sum of its proper divisors (2486155937040).

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

999067244400 is a wasteful number, since it uses less digits than its factorization.

999067244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2333 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 999067244400 in words is "nine hundred ninety-nine billion, sixty-seven million, two hundred forty-four thousand, four hundred".