41125956760 has 384 divisors, whose sum is σ = 118601496000. Its totient is φ = 12745506816.

The previous prime is 41125956727. The next prime is 41125956803. The reversal of 41125956760 is 6765952114.

It is a self number, because there is not a number n which added to its sum of digits gives 41125956760.

It is a congruent number.

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, 122035312 + ... + 122035648.

Almost surely, 2^41125956760 is an apocalyptic number.

41125956760 is a gapful number since it is divisible by the number (40) 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 41125956760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59300748000).

41125956760 is an abundant number, since it is smaller than the sum of its proper divisors (77475539240).

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

41125956760 is a wasteful number, since it uses less digits than its factorization.

41125956760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 41125956760 in words is "forty-one billion, one hundred twenty-five million, nine hundred fifty-six thousand, seven hundred sixty".