34444422054240 has 384 divisors, whose sum is σ = 118866147079680. Its totient is φ = 8314771046400.

The previous prime is 34444422054239. The next prime is 34444422054313. The reversal of 34444422054240 is 4245022444443.

It is a super-2 number, since 2×34444422054240² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34444422054192 and 34444422054201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1443049026 + ... + 1443072894.

It is an arithmetic number, because the mean of its divisors is an integer number (309547258020).

Almost surely, 2^{34444422054240} is an apocalyptic number.

34444422054240 is a gapful number since it is divisible by the number (30) 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 34444422054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59433073539840).

34444422054240 is an abundant number, since it is smaller than the sum of its proper divisors (84421725025440).

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

34444422054240 is a wasteful number, since it uses less digits than its factorization.

34444422054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25046 (or 25038 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 42.

Adding to 34444422054240 its reverse (4245022444443), we get a palindrome (38689444498683).

The spelling of 34444422054240 in words is "thirty-four trillion, four hundred forty-four billion, four hundred twenty-two million, fifty-four thousand, two hundred forty".