611221105040 has 640 divisors, whose sum is σ = 1857913085952. Its totient is φ = 181839790080.

The previous prime is 611221105021. The next prime is 611221105051. The reversal of 611221105040 is 40501122116.

It is a junction number, because it is equal to n+sod(n) for n = 611221104997 and 611221105015.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1638662294 + ... + 1638662666.

Almost surely, 2^611221105040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 611221105040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928956542976).

611221105040 is an abundant number, since it is smaller than the sum of its proper divisors (1246691980912).

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

611221105040 is a wasteful number, since it uses less digits than its factorization.

611221105040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 611221105040 its reverse (40501122116), we get a palindrome (651722227156).

The spelling of 611221105040 in words is "six hundred eleven billion, two hundred twenty-one million, one hundred five thousand, forty".