123410041345440 has 144 divisors (see below), whose sum is σ = 421595026070400. Its totient is φ = 32873534055936.

The previous prime is 123410041345421. The next prime is 123410041345453. The reversal of 123410041345440 is 44543140014321.

It is a happy number.

123410041345440 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 100 + 4 + 1 + 3 + 4 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 123410041345395 and 123410041345404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45304180 + ... + 47950899.

It is an arithmetic number, because the mean of its divisors is an integer number (2927743236600).

Almost surely, 2^{123410041345440} is an apocalyptic number.

123410041345440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123410041345440 is an abundant number, since it is smaller than the sum of its proper divisors (298184984724960).

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

123410041345440 is a wasteful number, since it uses less digits than its factorization.

123410041345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93256019 (or 93256008 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 123410041345440 its reverse (44543140014321), we get a palindrome (167953181359761).

The spelling of 123410041345440 in words is "one hundred twenty-three trillion, four hundred ten billion, forty-one million, three hundred forty-five thousand, four hundred forty".