42440624000 has 128 divisors (see below), whose sum is σ = 107764974720. Its totient is φ = 16614758400.

The previous prime is 42440623949. The next prime is 42440624021. The reversal of 42440624000 is 42604424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723782 + ... + 780218.

It is an arithmetic number, because the mean of its divisors is an integer number (841913865).

Almost surely, 2^42440624000 is an apocalyptic number.

42440624000 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 42440624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53882487360).

42440624000 is an abundant number, since it is smaller than the sum of its proper divisors (65324350720).

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

42440624000 is an equidigital number, since it uses as much as digits as its factorization.

42440624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56513 (or 56491 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The spelling of 42440624000 in words is "forty-two billion, four hundred forty million, six hundred twenty-four thousand".