41832161280 has 1344 divisors, whose sum is σ = 188920892160. Its totient is φ = 8323596288.

The previous prime is 41832161249. The next prime is 41832161299. The reversal of 41832161280 is 8216123814.

41832161280 is a `hidden beast` number, since 4 + 1 + 8 + 32 + 1 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972840939 + ... + 972840981.

It is an arithmetic number, because the mean of its divisors is an integer number (140566140).

Almost surely, 2^41832161280 is an apocalyptic number.

41832161280 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 41832161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94460446080).

41832161280 is an abundant number, since it is smaller than the sum of its proper divisors (147088730880).

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

41832161280 is a wasteful number, since it uses less digits than its factorization.

41832161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 41832161280 in words is "forty-one billion, eight hundred thirty-two million, one hundred sixty-one thousand, two hundred eighty".