4123265313888 has 576 divisors, whose sum is σ = 14995654027200. Its totient is φ = 1108761550848.

The previous prime is 4123265313851. The next prime is 4123265313917. The reversal of 4123265313888 is 8883135623214.

4123265313888 is a `hidden beast` number, since 4 + 1 + 2 + 3 + 26 + 531 + 3 + 8 + 88 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58261308 + ... + 58332036.

It is an arithmetic number, because the mean of its divisors is an integer number (26034121575).

Almost surely, 2^{4123265313888} is an apocalyptic number.

4123265313888 is a gapful number since it is divisible by the number (48) 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 4123265313888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7497827013600).

4123265313888 is an abundant number, since it is smaller than the sum of its proper divisors (10872388713312).

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

4123265313888 is an equidigital number, since it uses as much as digits as its factorization.

4123265313888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70791 (or 70758 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 4123265313888 in words is "four trillion, one hundred twenty-three billion, two hundred sixty-five million, three hundred thirteen thousand, eight hundred eighty-eight".