42243412031000 has 128 divisors (see below), whose sum is σ = 100573541265600. Its totient is φ = 16605001036800.

The previous prime is 42243412030997. The next prime is 42243412031017. The reversal of 42243412031000 is 13021434224.

42243412031000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42243412031000² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13051034 + ... + 15962966.

Almost surely, 2^{42243412031000} is an apocalyptic number.

42243412031000 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 42243412031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50286770632800).

42243412031000 is an abundant number, since it is smaller than the sum of its proper divisors (58330129234600).

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

42243412031000 is a wasteful number, since it uses less digits than its factorization.

42243412031000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912206 (or 2912192 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 42243412031000 its reverse (13021434224), we get a palindrome (42256433465224).

The spelling of 42243412031000 in words is "forty-two trillion, two hundred forty-three billion, four hundred twelve million, thirty-one thousand".