123350400013410 has 224 divisors, whose sum is σ = 345739014938880. Its totient is φ = 31647920500224.

The previous prime is 123350400013387. The next prime is 123350400013429. The reversal of 123350400013410 is 14310004053321.

It is a happy number.

123350400013410 is a `hidden beast` number, since 1 + 23 + 3 + 504 + 0 + 0 + 0 + 134 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 17164234 + ... + 23266106.

Almost surely, 2^{123350400013410} is an apocalyptic number.

123350400013410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123350400013410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172869507469440).

123350400013410 is an abundant number, since it is smaller than the sum of its proper divisors (222388614925470).

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

123350400013410 is an equidigital number, since it uses as much as digits as its factorization.

123350400013410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6102004 (or 6101989 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 123350400013410 its reverse (14310004053321), we get a palindrome (137660404066731).

The spelling of 123350400013410 in words is "one hundred twenty-three trillion, three hundred fifty billion, four hundred million, thirteen thousand, four hundred ten".