123695980093440 has 2688 divisors, whose sum is σ = 486679846348800. Its totient is φ = 28925346447360.

The previous prime is 123695980093417. The next prime is 123695980093487. The reversal of 123695980093440 is 44390089596321.

123695980093440 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 9 + 598 + 0 + 0 + 9 + 34 + 4 + 0 = 666.

It is a super-2 number, since 2×123695980093440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 715005665194 + ... + 715005665366.

Almost surely, 2^{123695980093440} is an apocalyptic number.

123695980093440 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 123695980093440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243339923174400).

123695980093440 is an abundant number, since it is smaller than the sum of its proper divisors (362983866255360).

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

123695980093440 is a wasteful number, since it uses less digits than its factorization.

123695980093440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 123695980093440 in words is "one hundred twenty-three trillion, six hundred ninety-five billion, nine hundred eighty million, ninety-three thousand, four hundred forty".