41197324896 has 768 divisors, whose sum is σ = 153628876800. Its totient is φ = 10453764096.

The previous prime is 41197324877. The next prime is 41197324957. The reversal of 41197324896 is 69842379114.

41197324896 is a `hidden beast` number, since 41 + 1 + 97 + 32 + 489 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (2612736) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 385021675 + ... + 385021781.

It is an arithmetic number, because the mean of its divisors is an integer number (200037600).

Almost surely, 2^41197324896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41197324896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76814438400).

41197324896 is an abundant number, since it is smaller than the sum of its proper divisors (112431551904).

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

41197324896 is a wasteful number, since it uses less digits than its factorization.

41197324896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 274 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 41197324896 in words is "forty-one billion, one hundred ninety-seven million, three hundred twenty-four thousand, eight hundred ninety-six".