42532294800 has 240 divisors, whose sum is σ = 137669938560. Its totient is φ = 11224043520.

The previous prime is 42532294787. The next prime is 42532294801. The reversal of 42532294800 is 849223524.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×42532294800² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42532294801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74748916 + ... + 74749484.

It is an arithmetic number, because the mean of its divisors is an integer number (573624744).

Almost surely, 2^42532294800 is an apocalyptic number.

42532294800 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 42532294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68834969280).

42532294800 is an abundant number, since it is smaller than the sum of its proper divisors (95137643760).

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

42532294800 is a wasteful number, since it uses less digits than its factorization.

42532294800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 42532294800 in words is "forty-two billion, five hundred thirty-two million, two hundred ninety-four thousand, eight hundred".