4124664753888 has 288 divisors, whose sum is σ = 13343244058368. Its totient is φ = 1108537651200.

The previous prime is 4124664753857. The next prime is 4124664753899. The reversal of 4124664753888 is 8883574664214.

It is a super-2 number, since 2×4124664753888² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154404853 + ... + 154431563.

It is an arithmetic number, because the mean of its divisors is an integer number (46330708536).

Almost surely, 2^{4124664753888} is an apocalyptic number.

4124664753888 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 4124664753888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6671622029184).

4124664753888 is an abundant number, since it is smaller than the sum of its proper divisors (9218579304480).

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

4124664753888 is a wasteful number, since it uses less digits than its factorization.

4124664753888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28686 (or 28671 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 66.

The spelling of 4124664753888 in words is "four trillion, one hundred twenty-four billion, six hundred sixty-four million, seven hundred fifty-three thousand, eight hundred eighty-eight".