41290188948 has 144 divisors (see below), whose sum is σ = 112142983680. Its totient is φ = 12763471872.

The previous prime is 41290188937. The next prime is 41290188967. The reversal of 41290188948 is 84988109214.

It is a happy number.

41290188948 is a `hidden beast` number, since 412 + 9 + 0 + 188 + 9 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41290188894 and 41290188903.

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, 24330436 + ... + 24332132.

It is an arithmetic number, because the mean of its divisors is an integer number (778770720).

Almost surely, 2^41290188948 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 41290188948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56071491840).

41290188948 is an abundant number, since it is smaller than the sum of its proper divisors (70852794732).

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

41290188948 is a wasteful number, since it uses less digits than its factorization.

41290188948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 41290188948 in words is "forty-one billion, two hundred ninety million, one hundred eighty-eight thousand, nine hundred forty-eight".