42424300800 has 864 divisors, whose sum is σ = 180399842560. Its totient is φ = 9674588160.

The previous prime is 42424300781. The next prime is 42424300813. The reversal of 42424300800 is 800342424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 97977384 + ... + 97977816.

Almost surely, 2^42424300800 is an apocalyptic number.

42424300800 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 42424300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90199921280).

42424300800 is an abundant number, since it is smaller than the sum of its proper divisors (137975541760).

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

42424300800 is an frugal number, since it uses more digits than its factorization.

42424300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The spelling of 42424300800 in words is "forty-two billion, four hundred twenty-four million, three hundred thousand, eight hundred".