123200400440 has 64 divisors (see below), whose sum is σ = 298766936160. Its totient is φ = 45452367360.

The previous prime is 123200400431. The next prime is 123200400481. The reversal of 123200400440 is 44004002321.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 547475 + ... + 739005.

Almost surely, 2^123200400440 is an apocalyptic number.

123200400440 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 123200400440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149383468080).

123200400440 is an abundant number, since it is smaller than the sum of its proper divisors (175566535720).

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

123200400440 is a wasteful number, since it uses less digits than its factorization.

123200400440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192792 (or 192788 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 123200400440 its reverse (44004002321), we get a palindrome (167204402761).

The spelling of 123200400440 in words is "one hundred twenty-three billion, two hundred million, four hundred thousand, four hundred forty".