42626424000 has 224 divisors, whose sum is σ = 148162060800. Its totient is φ = 10768665600.

The previous prime is 42626423969. The next prime is 42626424083. The reversal of 42626424000 is 42462624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409261 + ... + 502739.

Almost surely, 2^42626424000 is an apocalyptic number.

42626424000 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 42626424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74081030400).

42626424000 is an abundant number, since it is smaller than the sum of its proper divisors (105535636800).

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

42626424000 is a wasteful number, since it uses less digits than its factorization.

42626424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93528 (or 93508 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 42626424000 its reverse (42462624), we get a palindrome (42668886624).

The spelling of 42626424000 in words is "forty-two billion, six hundred twenty-six million, four hundred twenty-four thousand".