138823424400 has 120 divisors (see below), whose sum is σ = 444966279264. Its totient is φ = 36997222400.

The previous prime is 138823424297. The next prime is 138823424401. The reversal of 138823424400 is 4424328831.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (138823424401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2002315 + ... + 2070485.

Almost surely, 2^138823424400 is an apocalyptic number.

138823424400 is a gapful number since it is divisible by the number (10) 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 138823424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222483139632).

138823424400 is an abundant number, since it is smaller than the sum of its proper divisors (306142854864).

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

138823424400 is a wasteful number, since it uses less digits than its factorization.

138823424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69889 (or 69878 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 138823424400 in words is "one hundred thirty-eight billion, eight hundred twenty-three million, four hundred twenty-four thousand, four hundred".