123495720344640 has 1344 divisors, whose sum is σ = 536865171713280. Its totient is φ = 26554315898880.

The previous prime is 123495720344629. The next prime is 123495720344651. The reversal of 123495720344640 is 46443027594321.

123495720344640 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 9 + 572 + 0 + 3 + 4 + 4 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123495720344629) and next prime (123495720344651).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-4 number, since 4×123495720344640⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 28982800110 + ... + 28982804370.

Almost surely, 2^{123495720344640} is an apocalyptic number.

123495720344640 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 123495720344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268432585856640).

123495720344640 is an abundant number, since it is smaller than the sum of its proper divisors (413369451368640).

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

123495720344640 is a wasteful number, since it uses less digits than its factorization.

123495720344640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8345 (or 8322 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 123495720344640 in words is "one hundred twenty-three trillion, four hundred ninety-five billion, seven hundred twenty million, three hundred forty-four thousand, six hundred forty".