6611026214040 has 256 divisors, whose sum is σ = 20212324761600. Its totient is φ = 1729599008256.

The previous prime is 6611026213969. The next prime is 6611026214081. The reversal of 6611026214040 is 404126201166.

It is a junction number, because it is equal to n+sod(n) for n = 6611026213992 and 6611026214010.

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, 989819421 + ... + 989826099.

It is an arithmetic number, because the mean of its divisors is an integer number (78954393600).

Almost surely, 2^{6611026214040} is an apocalyptic number.

6611026214040 is a gapful number since it is divisible by the number (60) 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 6611026214040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10106162380800).

6611026214040 is an abundant number, since it is smaller than the sum of its proper divisors (13601298547560).

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

6611026214040 is a wasteful number, since it uses less digits than its factorization.

6611026214040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7534 (or 7530 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 6611026214040 in words is "six trillion, six hundred eleven billion, twenty-six million, two hundred fourteen thousand, forty".