41505097984 has 243 divisors, whose sum is σ = 103342566873. Its totient is φ = 16585089024.

The previous prime is 41505097969. The next prime is 41505098009. The reversal of 41505097984 is 48979050514.

The square root of 41505097984 is 203728.

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., 32313657600 + 9191440384 = 179760^2 + 95872^2 .

It is a super-2 number, since 2×41505097984² (a number of 22 digits) contains 22 as substring.

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, 387898059 + ... + 387898165.

Almost surely, 2^41505097984 is an apocalyptic number.

41505097984 is the 203728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41505097984

41505097984 is an abundant number, since it is smaller than the sum of its proper divisors (61837468889).

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

41505097984 is an equidigital number, since it uses as much as digits as its factorization.

41505097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 52.

The spelling of 41505097984 in words is "forty-one billion, five hundred five million, ninety-seven thousand, nine hundred eighty-four".