41508972288 has 864 divisors, whose sum is σ = 155350540800. Its totient is φ = 10785374208.

The previous prime is 41508972287. The next prime is 41508972299. The reversal of 41508972288 is 88227980514.

41508972288 is a `hidden beast` number, since 41 + 508 + 9 + 72 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41508972287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239936170 + ... + 239936342.

Almost surely, 2^41508972288 is an apocalyptic number.

41508972288 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 41508972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77675270400).

41508972288 is an abundant number, since it is smaller than the sum of its proper divisors (113841568512).

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

41508972288 is a wasteful number, since it uses less digits than its factorization.

41508972288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 41508972288 in words is "forty-one billion, five hundred eight million, nine hundred seventy-two thousand, two hundred eighty-eight".