22011314042340 has 288 divisors, whose sum is σ = 80001904469760. Its totient is φ = 5009563141632.

The previous prime is 22011314042339. The next prime is 22011314042357. The reversal of 22011314042340 is 4324041311022.

22011314042340 is a `hidden beast` number, since 2 + 2 + 0 + 1 + 1 + 314 + 0 + 4 + 2 + 340 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4380049 + ... + 7950311.

It is an arithmetic number, because the mean of its divisors is an integer number (277784390520).

Almost surely, 2^{22011314042340} is an apocalyptic number.

22011314042340 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 22011314042340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40000952234880).

22011314042340 is an abundant number, since it is smaller than the sum of its proper divisors (57990590427420).

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

22011314042340 is a wasteful number, since it uses less digits than its factorization.

22011314042340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570528 (or 3570513 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 22011314042340 its reverse (4324041311022), we get a palindrome (26335355353362).

The spelling of 22011314042340 in words is "twenty-two trillion, eleven billion, three hundred fourteen million, forty-two thousand, three hundred forty".