41416642890 has 384 divisors, whose sum is σ = 133189056000. Its totient is φ = 8900720640.

The previous prime is 41416642889. The next prime is 41416642901. The reversal of 41416642890 is 9824661414.

41416642890 is a `hidden beast` number, since 41 + 41 + 66 + 428 + 90 = 666.

41416642890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141353584 + ... + 141353876.

It is an arithmetic number, because the mean of its divisors is an integer number (346846500).

Almost surely, 2^41416642890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41416642890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66594528000).

41416642890 is an abundant number, since it is smaller than the sum of its proper divisors (91772413110).

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

41416642890 is a wasteful number, since it uses less digits than its factorization.

41416642890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 41416642890 in words is "forty-one billion, four hundred sixteen million, six hundred forty-two thousand, eight hundred ninety".