41530432849920 has 1728 divisors, whose sum is σ = 173005812448560. Its totient is φ = 9182115790848.

The previous prime is 41530432849907. The next prime is 41530432849951. The reversal of 41530432849920 is 2994823403514.

It is a happy number.

41530432849920 is a `hidden beast` number, since 4 + 1 + 5 + 304 + 328 + 4 + 9 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21793809171456 + 19736623678464 = 4668384^2 + 4442592^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17471783772 + ... + 17471786148.

Almost surely, 2^{41530432849920} is an apocalyptic number.

41530432849920 is a gapful number since it is divisible by the number (40) 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 41530432849920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86502906224280).

41530432849920 is an abundant number, since it is smaller than the sum of its proper divisors (131475379598640).

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

41530432849920 is a wasteful number, since it uses less digits than its factorization.

41530432849920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2550 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 41530432849920 in words is "forty-one trillion, five hundred thirty billion, four hundred thirty-two million, eight hundred forty-nine thousand, nine hundred twenty".