4661075412126 has 96 divisors (see below), whose sum is σ = 11628751680000. Its totient is φ = 1321699239360.

The previous prime is 4661075412073. The next prime is 4661075412131. The reversal of 4661075412126 is 6212145701664.

4661075412126 is a `hidden beast` number, since 4 + 6 + 6 + 107 + 5 + 412 + 126 = 666.

It is a Curzon number.

It is a congruent number.

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, 52480116 + ... + 52568856.

It is an arithmetic number, because the mean of its divisors is an integer number (121132830000).

Almost surely, 2^{4661075412126} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4661075412126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5814375840000).

4661075412126 is an abundant number, since it is smaller than the sum of its proper divisors (6967676267874).

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

4661075412126 is a wasteful number, since it uses less digits than its factorization.

4661075412126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91894 (or 91891 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4661075412126 in words is "four trillion, six hundred sixty-one billion, seventy-five million, four hundred twelve thousand, one hundred twenty-six".