41632081920 has 1152 divisors, whose sum is σ = 176974761600. Its totient is φ = 9316270080.

The previous prime is 41632081867. The next prime is 41632081927. The reversal of 41632081920 is 2918023614.

41632081920 is a `hidden beast` number, since 4 + 1 + 632 + 0 + 8 + 19 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41632081927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3202467834 + ... + 3202467846.

It is an arithmetic number, because the mean of its divisors is an integer number (153623925).

Almost surely, 2^41632081920 is an apocalyptic number.

41632081920 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 41632081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88487380800).

41632081920 is an abundant number, since it is smaller than the sum of its proper divisors (135342679680).

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

41632081920 is an equidigital number, since it uses as much as digits as its factorization.

41632081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 41632081920 in words is "forty-one billion, six hundred thirty-two million, eighty-one thousand, nine hundred twenty".