123434669440 has 128 divisors (see below), whose sum is σ = 300758832000. Its totient is φ = 48433766400.

The previous prime is 123434669381. The next prime is 123434669443. The reversal of 123434669440 is 44966434321.

123434669440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×123434669440² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123434669443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7037001 + ... + 7054519.

It is an arithmetic number, because the mean of its divisors is an integer number (2349678375).

Almost surely, 2^123434669440 is an apocalyptic number.

123434669440 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 123434669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150379416000).

123434669440 is an abundant number, since it is smaller than the sum of its proper divisors (177324162560).

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

123434669440 is a wasteful number, since it uses less digits than its factorization.

123434669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17748 (or 17736 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 46.

The spelling of 123434669440 in words is "one hundred twenty-three billion, four hundred thirty-four million, six hundred sixty-nine thousand, four hundred forty".