41608821240 has 1152 divisors, whose sum is σ = 180227174400. Its totient is φ = 8121876480.

The previous prime is 41608821239. The next prime is 41608821253. The reversal of 41608821240 is 4212880614.

41608821240 is a `hidden beast` number, since 4 + 1 + 608 + 8 + 2 + 1 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41608821195 and 41608821204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 428956872 + ... + 428956968.

It is an arithmetic number, because the mean of its divisors is an integer number (156447200).

Almost surely, 2^41608821240 is an apocalyptic number.

41608821240 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 41608821240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90113587200).

41608821240 is an abundant number, since it is smaller than the sum of its proper divisors (138618353160).

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

41608821240 is a wasteful number, since it uses less digits than its factorization.

41608821240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 41608821240 in words is "forty-one billion, six hundred eight million, eight hundred twenty-one thousand, two hundred forty".