41090258430 has 192 divisors, whose sum is σ = 116399162880. Its totient is φ = 9996887808.

The previous prime is 41090258411. The next prime is 41090258437. The reversal of 41090258430 is 3485209014.

41090258430 is a `hidden beast` number, since 41 + 0 + 9 + 0 + 2 + 584 + 30 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41090258437) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49926999 + ... + 49927821.

It is an arithmetic number, because the mean of its divisors is an integer number (606245640).

Almost surely, 2^41090258430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41090258430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58199581440).

41090258430 is an abundant number, since it is smaller than the sum of its proper divisors (75308904450).

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

41090258430 is a wasteful number, since it uses less digits than its factorization.

41090258430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 41090258430 in words is "forty-one billion, ninety million, two hundred fifty-eight thousand, four hundred thirty".