123345373440 has 288 divisors, whose sum is σ = 415720166400. Its totient is φ = 31081881600.

The previous prime is 123345373433. The next prime is 123345373453. The reversal of 123345373440 is 44373543321.

It is a super-2 number, since 2×123345373440² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32027515 + ... + 32031365.

It is an arithmetic number, because the mean of its divisors is an integer number (1443472800).

Almost surely, 2^123345373440 is an apocalyptic number.

123345373440 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 123345373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207860083200).

123345373440 is an abundant number, since it is smaller than the sum of its proper divisors (292374792960).

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

123345373440 is a wasteful number, since it uses less digits than its factorization.

123345373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4333 (or 4319 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

The spelling of 123345373440 in words is "one hundred twenty-three billion, three hundred forty-five million, three hundred seventy-three thousand, four hundred forty".