42214431031344 has 240 divisors, whose sum is σ = 138867940882944. Its totient is φ = 11802106252800.

The previous prime is 42214431031319. The next prime is 42214431031403. The reversal of 42214431031344 is 44313013441224.

42214431031344 is a `hidden beast` number, since 4 + 2 + 21 + 4 + 4 + 310 + 313 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42214431031299 and 42214431031308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39232329 + ... + 40293975.

Almost surely, 2^{42214431031344} is an apocalyptic number.

42214431031344 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 42214431031344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69433970441472).

42214431031344 is an abundant number, since it is smaller than the sum of its proper divisors (96653509851600).

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

42214431031344 is a wasteful number, since it uses less digits than its factorization.

42214431031344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063616 (or 1063607 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 42214431031344 its reverse (44313013441224), we get a palindrome (86527444472568).

The spelling of 42214431031344 in words is "forty-two trillion, two hundred fourteen billion, four hundred thirty-one million, thirty-one thousand, three hundred forty-four".