42094924800 has 264 divisors, whose sum is σ = 143621974272. Its totient is φ = 10862592000.

The previous prime is 42094924763. The next prime is 42094924811. The reversal of 42094924800 is 842949024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2371960 + ... + 2389640.

Almost surely, 2^42094924800 is an apocalyptic number.

42094924800 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 42094924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71810987136).

42094924800 is an abundant number, since it is smaller than the sum of its proper divisors (101527049472).

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

42094924800 is a wasteful number, since it uses less digits than its factorization.

42094924800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17745 (or 17722 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 42094924800 in words is "forty-two billion, ninety-four million, nine hundred twenty-four thousand, eight hundred".