41381323776 has 297 divisors, whose sum is σ = 130184710929. Its totient is φ = 12654600192.

The previous prime is 41381323703. The next prime is 41381323807. The reversal of 41381323776 is 67732318314.

The square root of 41381323776 is 203424.

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

41381323776 is a `hidden beast` number, since 413 + 8 + 132 + 37 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6121497600 + 35259826176 = 78240^2 + 187776^2 .

Its product of digits (508032) is a multiple of the sum of its prime factors (378).

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 26 ways as a sum of consecutive naturals, for example, 253873071 + ... + 253873233.

Almost surely, 2^41381323776 is an apocalyptic number.

41381323776 is the 203424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41381323776

41381323776 is an abundant number, since it is smaller than the sum of its proper divisors (88803387153).

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

41381323776 is a wasteful number, since it uses less digits than its factorization.

41381323776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 181 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The spelling of 41381323776 in words is "forty-one billion, three hundred eighty-one million, three hundred twenty-three thousand, seven hundred seventy-six".