123641714442240 has 2240 divisors, whose sum is σ = 485209710216000. Its totient is φ = 30136174903296.

The previous prime is 123641714442227. The next prime is 123641714442277. The reversal of 123641714442240 is 42244417146321.

123641714442240 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 41 + 7 + 144 + 422 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1274656849872 + ... + 1274656849968.

It is an arithmetic number, because the mean of its divisors is an integer number (216611477775).

Almost surely, 2^{123641714442240} is an apocalyptic number.

123641714442240 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 123641714442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242604855108000).

123641714442240 is an abundant number, since it is smaller than the sum of its proper divisors (361567995773760).

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

123641714442240 is an frugal number, since it uses more digits than its factorization.

123641714442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 123641714442240 in words is "one hundred twenty-three trillion, six hundred forty-one billion, seven hundred fourteen million, four hundred forty-two thousand, two hundred forty".