123460765440 has 144 divisors (see below), whose sum is σ = 395010096768. Its totient is φ = 32863817728.

The previous prime is 123460765387. The next prime is 123460765451. The reversal of 123460765440 is 44567064321.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 123460765392 and 123460765401.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2133367 + ... + 2190473.

It is an arithmetic number, because the mean of its divisors is an integer number (2743125672).

Almost surely, 2^123460765440 is an apocalyptic number.

123460765440 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 123460765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197505048384).

123460765440 is an abundant number, since it is smaller than the sum of its proper divisors (271549331328).

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

123460765440 is an equidigital number, since it uses as much as digits as its factorization.

123460765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57694 (or 57680 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 123460765440 in words is "one hundred twenty-three billion, four hundred sixty million, seven hundred sixty-five thousand, four hundred forty".