42214104430320 has 160 divisors (see below), whose sum is σ = 134694687256128. Its totient is φ = 10928880820224.

The previous prime is 42214104430307. The next prime is 42214104430387. The reversal of 42214104430320 is 2303440141224.

It is a super-2 number, since 2×42214104430320² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142979 + ... + 9259298.

Almost surely, 2^{42214104430320} is an apocalyptic number.

42214104430320 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 42214104430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67347343628064).

42214104430320 is an abundant number, since it is smaller than the sum of its proper divisors (92480582825808).

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

42214104430320 is a wasteful number, since it uses less digits than its factorization.

42214104430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10402787 (or 10402781 counting only the distinct ones).

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

Adding to 42214104430320 its reverse (2303440141224), we get a palindrome (44517544571544).

The spelling of 42214104430320 in words is "forty-two trillion, two hundred fourteen billion, one hundred four million, four hundred thirty thousand, three hundred twenty".