41147261503488 has 288 divisors, whose sum is σ = 143807417470080. Its totient is φ = 11064809226240.

The previous prime is 41147261503441. The next prime is 41147261503511. The reversal of 41147261503488 is 88430516274114.

It is a happy number.

41147261503488 is a `hidden beast` number, since 4 + 1 + 1 + 4 + 7 + 2 + 6 + 150 + 3 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×41147261503488² (a number of 28 digits) contains 22 as substring.

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, 7186348 + ... + 11573163.

It is an arithmetic number, because the mean of its divisors is an integer number (499331310660).

Almost surely, 2^{41147261503488} is an apocalyptic number.

41147261503488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

41147261503488 is an abundant number, since it is smaller than the sum of its proper divisors (102660155966592).

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

41147261503488 is a wasteful number, since it uses less digits than its factorization.

41147261503488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18759563 (or 18759540 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 41147261503488 in words is "forty-one trillion, one hundred forty-seven billion, two hundred sixty-one million, five hundred three thousand, four hundred eighty-eight".