41284723680 has 768 divisors, whose sum is σ = 156392570880. Its totient is φ = 10152345600.

The previous prime is 41284723663. The next prime is 41284723699. The reversal of 41284723680 is 8632748214.

It is a happy number.

41284723680 is a `hidden beast` number, since 4 + 1 + 284 + 7 + 2 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 400822509 + ... + 400822611.

It is an arithmetic number, because the mean of its divisors is an integer number (203636160).

Almost surely, 2^41284723680 is an apocalyptic number.

41284723680 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 41284723680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78196285440).

41284723680 is an abundant number, since it is smaller than the sum of its proper divisors (115107847200).

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

41284723680 is a wasteful number, since it uses less digits than its factorization.

41284723680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 41284723680 in words is "forty-one billion, two hundred eighty-four million, seven hundred twenty-three thousand, six hundred eighty".