41949593856 has 243 divisors, whose sum is σ = 128998231453. Its totient is φ = 13108224000.

The previous prime is 41949593801. The next prime is 41949593869. The reversal of 41949593856 is 65839594914.

The square root of 41949593856 is 204816.

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

41949593856 is a `hidden beast` number, since 4 + 1 + 9 + 495 + 93 + 8 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32659718400 + 9289875456 = 180720^2 + 96384^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41949593793 and 41949593802.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 167129731 + ... + 167129981.

Almost surely, 2^41949593856 is an apocalyptic number.

41949593856 is the 204816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41949593856

41949593856 is an abundant number, since it is smaller than the sum of its proper divisors (87048637597).

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

41949593856 is an equidigital number, since it uses as much as digits as its factorization.

41949593856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 273 counting only the distinct ones).

The product of its digits is 41990400, while the sum is 63.

The spelling of 41949593856 in words is "forty-one billion, nine hundred forty-nine million, five hundred ninety-three thousand, eight hundred fifty-six".