221234034313440 has 480 divisors, whose sum is σ = 833010323279904. Its totient is φ = 55101539450880.

The previous prime is 221234034313387. The next prime is 221234034313451. The reversal of 221234034313440 is 44313430432122.

221234034313440 is a `hidden beast` number, since 2 + 2 + 123 + 40 + 3 + 43 + 13 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 221234034313395 and 221234034313404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25029292 + ... + 32694548.

Almost surely, 2^{221234034313440} is an apocalyptic number.

221234034313440 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 221234034313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416505161639952).

221234034313440 is an abundant number, since it is smaller than the sum of its proper divisors (611776288966464).

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

221234034313440 is a wasteful number, since it uses less digits than its factorization.

221234034313440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7665432 (or 7665415 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 221234034313440 its reverse (44313430432122), we get a palindrome (265547464745562).

The spelling of 221234034313440 in words is "two hundred twenty-one trillion, two hundred thirty-four billion, thirty-four million, three hundred thirteen thousand, four hundred forty".