123405321000040 has 16 divisors (see below), whose sum is σ = 277661972250180. Its totient is φ = 49362128400000.

The previous prime is 123405321000023. The next prime is 123405321000047. The reversal of 123405321000040 is 40000123504321.

It can be written as a sum of positive squares in 2 ways, for example, as 122869376945316 + 535944054724 = 11084646^2 + 732082^2 .

It is a super-2 number, since 2×123405321000040² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123405320999969 and 123405321000014.

It is not an unprimeable number, because it can be changed into a prime (123405321000047) 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 3 ways as a sum of consecutive naturals, for example, 1542566512461 + ... + 1542566512540.

Almost surely, 2^{123405321000040} is an apocalyptic number.

123405321000040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123405321000040 is an abundant number, since it is smaller than the sum of its proper divisors (154256651250140).

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

123405321000040 is a wasteful number, since it uses less digits than its factorization.

123405321000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085133025012 (or 3085133025008 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 123405321000040 its reverse (40000123504321), we get a palindrome (163405444504361).

The spelling of 123405321000040 in words is "one hundred twenty-three trillion, four hundred five billion, three hundred twenty-one million, forty", and thus it is an aban number.