123414014101040 has 160 divisors (see below), whose sum is σ = 309907704637440. Its totient is φ = 45435960880128.

The previous prime is 123414014100997. The next prime is 123414014101067. The reversal of 123414014101040 is 40101410414321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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 31 ways as a sum of consecutive naturals, for example, 718176569 + ... + 718348391.

It is an arithmetic number, because the mean of its divisors is an integer number (1936923153984).

Almost surely, 2^{123414014101040} is an apocalyptic number.

123414014101040 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 123414014101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154953852318720).

123414014101040 is an abundant number, since it is smaller than the sum of its proper divisors (186493690536400).

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

123414014101040 is a wasteful number, since it uses less digits than its factorization.

123414014101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173851 (or 173845 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 123414014101040 its reverse (40101410414321), we get a palindrome (163515424515361).

The spelling of 123414014101040 in words is "one hundred twenty-three trillion, four hundred fourteen billion, fourteen million, one hundred one thousand, forty".