41459475456 has 495 divisors, whose sum is σ = 145459392177. Its totient is φ = 11728281600.

The previous prime is 41459475451. The next prime is 41459475487. The reversal of 41459475456 is 65457495414.

The square root of 41459475456 is 203616.

It is a perfect power (a square), and thus also a powerful number.

41459475456 is a `hidden beast` number, since 4 + 1 + 4 + 5 + 94 + 7 + 545 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39833773056 + 1625702400 = 199584^2 + 40320^2 .

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

It is not an unprimeable number, because it can be changed into a prime (41459475451) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 410489806 + ... + 410489906.

Almost surely, 2^41459475456 is an apocalyptic number.

41459475456 is the 203616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41459475456

41459475456 is an abundant number, since it is smaller than the sum of its proper divisors (103999916721).

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

41459475456 is an equidigital number, since it uses as much as digits as its factorization.

41459475456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 113 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 41459475456 in words is "forty-one billion, four hundred fifty-nine million, four hundred seventy-five thousand, four hundred fifty-six".