6961417041228 has 144 divisors (see below), whose sum is σ = 17885742086016. Its totient is φ = 2105948782080.

The previous prime is 6961417041217. The next prime is 6961417041233. The reversal of 6961417041228 is 8221407141696.

It is a super-2 number, since 2×6961417041228² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71014168 + ... + 71112128.

It is an arithmetic number, because the mean of its divisors is an integer number (124206542264).

Almost surely, 2^{6961417041228} 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 6961417041228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942871043008).

6961417041228 is an abundant number, since it is smaller than the sum of its proper divisors (10924325044788).

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

6961417041228 is a wasteful number, since it uses less digits than its factorization.

6961417041228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98584 (or 98569 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 6961417041228 in words is "six trillion, nine hundred sixty-one billion, four hundred seventeen million, forty-one thousand, two hundred twenty-eight".