4268613888000 has 1152 divisors, whose sum is σ = 19183365976320. Its totient is φ = 886947840000.

The previous prime is 4268613887969. The next prime is 4268613888043. The reversal of 4268613888000 is 8883168624.

4268613888000 is a `hidden beast` number, since 426 + 8 + 6 + 138 + 8 + 80 + 0 + 0 = 666.

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

It is a super-3 number, since 3×4268613888000³ (a number of 39 digits) contains 333 as substring.

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, 177395970 + ... + 177420030.

It is an arithmetic number, because the mean of its divisors is an integer number (16652227410).

Almost surely, 2^{4268613888000} is an apocalyptic number.

4268613888000 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 4268613888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9591682988160).

4268613888000 is an abundant number, since it is smaller than the sum of its proper divisors (14914752088320).

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

4268613888000 is a wasteful number, since it uses less digits than its factorization.

4268613888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24122 (or 24089 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 4268613888000 in words is "four trillion, two hundred sixty-eight billion, six hundred thirteen million, eight hundred eighty-eight thousand".