41488997346000 has 120 divisors (see below), whose sum is σ = 144907238126664. Its totient is φ = 11063732620800.

The previous prime is 41488997345989. The next prime is 41488997346011. The reversal of 41488997346000 is 64379988414.

41488997346000 is a `hidden beast` number, since 4 + 1 + 4 + 8 + 89 + 97 + 3 + 460 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41488997345989) and next prime (41488997346011).

It can be written as a sum of positive squares in 4 ways, for example, as 7462886544 + 41481534459456 = 86388^2 + 6440616^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 1152454149 + ... + 1152490148.

Almost surely, 2^{41488997346000} is an apocalyptic number.

41488997346000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41488997346000 is an abundant number, since it is smaller than the sum of its proper divisors (103418240780664).

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

41488997346000 is a wasteful number, since it uses less digits than its factorization.

41488997346000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2304944326 (or 2304944307 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 41488997346000 in words is "forty-one trillion, four hundred eighty-eight billion, nine hundred ninety-seven million, three hundred forty-six thousand".