123895190240640 has 1152 divisors, whose sum is σ = 539438867398080. Its totient is φ = 25647231467520.

The previous prime is 123895190240623. The next prime is 123895190240663. The reversal of 123895190240640 is 46042091598321.

It is a happy number.

123895190240640 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 9 + 5 + 190 + 2 + 406 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×123895190240640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 360974710 + ... + 361317770.

Almost surely, 2^{123895190240640} is an apocalyptic number.

123895190240640 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 123895190240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269719433699040).

123895190240640 is an abundant number, since it is smaller than the sum of its proper divisors (415543677157440).

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

123895190240640 is a wasteful number, since it uses less digits than its factorization.

123895190240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343172 (or 343144 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 123895190240640 in words is "one hundred twenty-three trillion, eight hundred ninety-five billion, one hundred ninety million, two hundred forty thousand, six hundred forty".