123434604506400 has 432 divisors, whose sum is σ = 445533861320352. Its totient is φ = 29658722508800.

The previous prime is 123434604506333. The next prime is 123434604506407. The reversal of 123434604506400 is 4605406434321.

It is a super-2 number, since 2×123434604506400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (123434604506407) 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 71 ways as a sum of consecutive naturals, for example, 30934447 + ... + 34695953.

It is an arithmetic number, because the mean of its divisors is an integer number (1031328382686).

Almost surely, 2^{123434604506400} is an apocalyptic number.

123434604506400 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 123434604506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222766930660176).

123434604506400 is an abundant number, since it is smaller than the sum of its proper divisors (322099256813952).

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

123434604506400 is a wasteful number, since it uses less digits than its factorization.

123434604506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3761665 (or 3761641 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 123434604506400 in words is "one hundred twenty-three trillion, four hundred thirty-four billion, six hundred four million, five hundred six thousand, four hundred".