42486444000 has 1920 divisors, whose sum is σ = 210971464704. Its totient is φ = 8087040000.

The previous prime is 42486443959. The next prime is 42486444019. The reversal of 42486444000 is 44468424.

42486444000 is a `hidden beast` number, since 4 + 2 + 4 + 8 + 644 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 324323935 + ... + 324324065.

Almost surely, 2^42486444000 is an apocalyptic number.

42486444000 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 42486444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105485732352).

42486444000 is an abundant number, since it is smaller than the sum of its proper divisors (168485020704).

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

42486444000 is a wasteful number, since it uses less digits than its factorization.

42486444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

It can be divided in two parts, 424864 and 44000, that added together give a palindrome (468864).

The spelling of 42486444000 in words is "forty-two billion, four hundred eighty-six million, four hundred forty-four thousand".