41675635540 has 288 divisors, whose sum is σ = 115436611584. Its totient is φ = 12355200000.

The previous prime is 41675635531. The next prime is 41675635567. The reversal of 41675635540 is 4553657614.

It is a super-2 number, since 2×41675635540² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32032890 + ... + 32034190.

It is an arithmetic number, because the mean of its divisors is an integer number (400821568).

Almost surely, 2^41675635540 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 41675635540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57718305792).

41675635540 is an abundant number, since it is smaller than the sum of its proper divisors (73760976044).

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

41675635540 is a wasteful number, since it uses less digits than its factorization.

41675635540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 46.

The spelling of 41675635540 in words is "forty-one billion, six hundred seventy-five million, six hundred thirty-five thousand, five hundred forty".