232222051341440 has 128 divisors (see below), whose sum is σ = 573805483038720. Its totient is φ = 89776110735360.

The previous prime is 232222051341373. The next prime is 232222051341509. The reversal of 232222051341440 is 44143150222232.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×232222051341440⁴ (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 232222051341440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7765337 + ... + 22907303.

It is an arithmetic number, because the mean of its divisors is an integer number (4482855336240).

Almost surely, 2^{232222051341440} is an apocalyptic number.

232222051341440 is a gapful number since it is divisible by the number (20) 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 232222051341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286902741519360).

232222051341440 is an abundant number, since it is smaller than the sum of its proper divisors (341583431697280).

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

232222051341440 is a wasteful number, since it uses less digits than its factorization.

232222051341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15142790 (or 15142778 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 35.

The spelling of 232222051341440 in words is "two hundred thirty-two trillion, two hundred twenty-two billion, fifty-one million, three hundred forty-one thousand, four hundred forty".