41571752083456 has 285 divisors, whose sum is σ = 97373678603309. Its totient is φ = 17747140411392.

The previous prime is 41571752083369. The next prime is 41571752083481. The reversal of 41571752083456 is 65438025717514.

It is a happy number.

The square root of 41571752083456 is 6447616.

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

It can be written as a sum of positive squares in only one way, i.e., 40927238553600 + 644513529856 = 6397440^2 + 802816^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 41571752083456.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 161757790080 + ... + 161757790336.

Almost surely, 2^{41571752083456} is an apocalyptic number.

41571752083456 is the 6447616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41571752083456

41571752083456 is an abundant number, since it is smaller than the sum of its proper divisors (55801926519853).

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

41571752083456 is an frugal number, since it uses more digits than its factorization.

41571752083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 58.

The spelling of 41571752083456 in words is "forty-one trillion, five hundred seventy-one billion, seven hundred fifty-two million, eighty-three thousand, four hundred fifty-six".