42468960268800 has 960 divisors, whose sum is σ = 176708387856000. Its totient is φ = 9903672852480.

The previous prime is 42468960268789. The next prime is 42468960268841. The reversal of 42468960268800 is 886206986424.

42468960268800 is a `hidden beast` number, since 4 + 2 + 468 + 96 + 0 + 2 + 6 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×42468960268800² (a number of 28 digits) contains 22 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, 85114446 + ... + 85611954.

It is an arithmetic number, because the mean of its divisors is an integer number (184071237350).

Almost surely, 2^{42468960268800} is an apocalyptic number.

42468960268800 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 42468960268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88354193928000).

42468960268800 is an abundant number, since it is smaller than the sum of its proper divisors (134239427587200).

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

42468960268800 is a wasteful number, since it uses less digits than its factorization.

42468960268800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497578 (or 497551 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 42468960268800 in words is "forty-two trillion, four hundred sixty-eight billion, nine hundred sixty million, two hundred sixty-eight thousand, eight hundred".