42531670196224 has 320 divisors, whose sum is σ = 100073313648000. Its totient is φ = 17866476748800.

The previous prime is 42531670196173. The next prime is 42531670196227. The reversal of 42531670196224 is 42269107613524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42531670196227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4492619139 + ... + 4492628605.

It is an arithmetic number, because the mean of its divisors is an integer number (312729105150).

Almost surely, 2^{42531670196224} is an apocalyptic number.

42531670196224 is a gapful number since it is divisible by the number (44) 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 42531670196224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50036656824000).

42531670196224 is an abundant number, since it is smaller than the sum of its proper divisors (57541643451776).

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

42531670196224 is an frugal number, since it uses more digits than its factorization.

42531670196224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9576 (or 9540 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 42531670196224 in words is "forty-two trillion, five hundred thirty-one billion, six hundred seventy million, one hundred ninety-six thousand, two hundred twenty-four".