426042124800 has 480 divisors, whose sum is σ = 1428860928000. Its totient is φ = 111894773760.

The previous prime is 426042124793. The next prime is 426042124811. The reversal of 426042124800 is 8421240624.

It is a tau number, because it is divible by the number of its divisors (480).

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, 970482981 + ... + 970483419.

It is an arithmetic number, because the mean of its divisors is an integer number (2976793600).

Almost surely, 2^426042124800 is an apocalyptic number.

426042124800 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 426042124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714430464000).

426042124800 is an abundant number, since it is smaller than the sum of its proper divisors (1002818803200).

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

426042124800 is a wasteful number, since it uses less digits than its factorization.

426042124800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 426042124800 in words is "four hundred twenty-six billion, forty-two million, one hundred twenty-four thousand, eight hundred".