41164825248 has 144 divisors (see below), whose sum is σ = 122182108776. Its totient is φ = 13134151680.

The previous prime is 41164825237. The next prime is 41164825283. The reversal of 41164825248 is 84252846114.

41164825248 is a `hidden beast` number, since 4 + 116 + 4 + 8 + 2 + 524 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32361131664 + 8803693584 = 179892^2 + 93828^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 592936 + ... + 658712.

Almost surely, 2^41164825248 is an apocalyptic number.

41164825248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41164825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61091054388).

41164825248 is an abundant number, since it is smaller than the sum of its proper divisors (81017283528).

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

41164825248 is a wasteful number, since it uses less digits than its factorization.

41164825248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65887 (or 65876 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 41164825248 in words is "forty-one billion, one hundred sixty-four million, eight hundred twenty-five thousand, two hundred forty-eight".