41815097856 has 720 divisors, whose sum is σ = 153670476960. Its totient is φ = 11318372352.

The previous prime is 41815097803. The next prime is 41815097861. The reversal of 41815097856 is 65879051814.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

41815097856 is a `hidden beast` number, since 4 + 1 + 81 + 509 + 7 + 8 + 56 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2200794615 + ... + 2200794633.

It is an arithmetic number, because the mean of its divisors is an integer number (213431218).

Almost surely, 2^41815097856 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 41815097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76835238480).

41815097856 is an abundant number, since it is smaller than the sum of its proper divisors (111855379104).

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

41815097856 is an frugal number, since it uses more digits than its factorization.

41815097856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 41815097856 in words is "forty-one billion, eight hundred fifteen million, ninety-seven thousand, eight hundred fifty-six".