41905947021840 has 960 divisors, whose sum is σ = 164490015965184. Its totient is φ = 9822954240000.

The previous prime is 41905947021821. The next prime is 41905947021877. The reversal of 41905947021840 is 4812074950914.

41905947021840 is a `hidden beast` number, since 4 + 1 + 9 + 0 + 594 + 7 + 0 + 2 + 1 + 8 + 40 = 666.

It is a super-2 number, since 2×41905947021840² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 11541156825 + ... + 11541160455.

Almost surely, 2^{41905947021840} is an apocalyptic number.

41905947021840 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 41905947021840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82245007982592).

41905947021840 is an abundant number, since it is smaller than the sum of its proper divisors (122584068943344).

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

41905947021840 is a wasteful number, since it uses less digits than its factorization.

41905947021840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5442 (or 5424 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 41905947021840 in words is "forty-one trillion, nine hundred five billion, nine hundred forty-seven million, twenty-one thousand, eight hundred forty".