41681454080 has 528 divisors, whose sum is σ = 127777506480. Its totient is φ = 12947816448.

The previous prime is 41681454077. The next prime is 41681454091. The reversal of 41681454080 is 8045418614.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 39337984 + 41642116096 = 6272^2 + 204064^2 .

It is a super-2 number, since 2×41681454080² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123683672 + ... + 123684008.

Almost surely, 2^41681454080 is an apocalyptic number.

41681454080 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 41681454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63888753240).

41681454080 is an abundant number, since it is smaller than the sum of its proper divisors (86096052400).

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

41681454080 is a wasteful number, since it uses less digits than its factorization.

41681454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The spelling of 41681454080 in words is "forty-one billion, six hundred eighty-one million, four hundred fifty-four thousand, eighty".