41248327248 has 400 divisors, whose sum is σ = 132875424000. Its totient is φ = 12299019264.

The previous prime is 41248327223. The next prime is 41248327261. The reversal of 41248327248 is 84272384214.

41248327248 is a `hidden beast` number, since 41 + 2 + 48 + 327 + 248 = 666.

Its product of digits (688128) is a multiple of the sum of its prime factors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33561898 + ... + 33563126.

It is an arithmetic number, because the mean of its divisors is an integer number (332188560).

Almost surely, 2^41248327248 is an apocalyptic number.

41248327248 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 41248327248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66437712000).

41248327248 is an abundant number, since it is smaller than the sum of its proper divisors (91627096752).

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

41248327248 is a wasteful number, since it uses less digits than its factorization.

41248327248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1329 counting only the distinct ones).

The product of its digits is 688128, while the sum is 45.

The spelling of 41248327248 in words is "forty-one billion, two hundred forty-eight million, three hundred twenty-seven thousand, two hundred forty-eight".