42232232000000 has 560 divisors, whose sum is σ = 125789027379840. Its totient is φ = 13849651200000.

The previous prime is 42232231999999. The next prime is 42232232000003. The reversal of 42232232000000 is 23223224.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×42232232000000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (42232232000003) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1287983606 + ... + 1288016394.

Almost surely, 2^{42232232000000} is an apocalyptic number.

42232232000000 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 42232232000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62894513689920).

42232232000000 is an abundant number, since it is smaller than the sum of its proper divisors (83556795379840).

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

42232232000000 is an frugal number, since it uses more digits than its factorization.

42232232000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32867 (or 32826 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

Adding to 42232232000000 its reverse (23223224), we get a palindrome (42232255223224).

The spelling of 42232232000000 in words is "forty-two trillion, two hundred thirty-two billion, two hundred thirty-two million", and thus it is an aban number.