4123501255680 has 176 divisors, whose sum is σ = 13190372200224. Its totient is φ = 1099466014720.

The previous prime is 4123501255561. The next prime is 4123501255751. The reversal of 4123501255680 is 865521053214.

It is a super-4 number, since 4×4123501255680⁴ (a number of 52 digits) contains 4444 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242080444 + ... + 242097476.

Almost surely, 2^{4123501255680} is an apocalyptic number.

4123501255680 is a gapful number since it is divisible by the number (40) 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 4123501255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595186100112).

4123501255680 is an abundant number, since it is smaller than the sum of its proper divisors (9066870944544).

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

4123501255680 is a wasteful number, since it uses less digits than its factorization.

4123501255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32822 (or 32804 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 4123501255680 in words is "four trillion, one hundred twenty-three billion, five hundred one million, two hundred fifty-five thousand, six hundred eighty".