42593971200 has 528 divisors, whose sum is σ = 155172163584. Its totient is φ = 10218700800.

The previous prime is 42593971159. The next prime is 42593971237. The reversal of 42593971200 is 217939524.

It is a tau number, because it is divible by the number of its divisors (528).

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, 107289402 + ... + 107289798.

Almost surely, 2^42593971200 is an apocalyptic number.

42593971200 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 42593971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77586081792).

42593971200 is an abundant number, since it is smaller than the sum of its proper divisors (112578192384).

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

42593971200 is a wasteful number, since it uses less digits than its factorization.

42593971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 42593971200 in words is "forty-two billion, five hundred ninety-three million, nine hundred seventy-one thousand, two hundred".