123356587453440 has 1408 divisors, whose sum is σ = 458724734189568. Its totient is φ = 27998894161920.

The previous prime is 123356587453439. The next prime is 123356587453447. The reversal of 123356587453440 is 44354785653321.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a super-3 number, since 3×123356587453440³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (123356587453447) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 43481347702 + ... + 43481350538.

It is an arithmetic number, because the mean of its divisors is an integer number (325798816896).

Almost surely, 2^{123356587453440} is an apocalyptic number.

123356587453440 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 123356587453440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229362367094784).

123356587453440 is an abundant number, since it is smaller than the sum of its proper divisors (335368146736128).

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

123356587453440 is a wasteful number, since it uses less digits than its factorization.

123356587453440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3133 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 60.

The spelling of 123356587453440 in words is "one hundred twenty-three trillion, three hundred fifty-six billion, five hundred eighty-seven million, four hundred fifty-three thousand, four hundred forty".