42412434444 has 72 divisors (see below), whose sum is σ = 111136164048. Its totient is φ = 13626783360.

The previous prime is 42412434443. The next prime is 42412434451. The reversal of 42412434444 is 44443421424.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42412434399 and 42412434408.

It is not an unprimeable number, because it can be changed into a prime (42412434443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6267 + ... + 291314.

It is an arithmetic number, because the mean of its divisors is an integer number (1543557834).

Almost surely, 2^42412434444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42412434444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55568082024).

42412434444 is an abundant number, since it is smaller than the sum of its proper divisors (68723729604).

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

42412434444 is a wasteful number, since it uses less digits than its factorization.

42412434444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297735 (or 297730 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 42412434444 its reverse (44443421424), we get a palindrome (86855855868).

The spelling of 42412434444 in words is "forty-two billion, four hundred twelve million, four hundred thirty-four thousand, four hundred forty-four".