41530310640 has 1440 divisors, whose sum is σ = 189683859456. Its totient is φ = 8047226880.

The previous prime is 41530310639. The next prime is 41530310641. The reversal of 41530310640 is 4601303514.

41530310640 is a `hidden beast` number, since 4 + 1 + 5 + 3 + 0 + 3 + 10 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (41530310639) and next prime (41530310641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41530310641) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 327010257 + ... + 327010383.

Almost surely, 2^41530310640 is an apocalyptic number.

41530310640 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 41530310640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94841929728).

41530310640 is an abundant number, since it is smaller than the sum of its proper divisors (148153548816).

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

41530310640 is a wasteful number, since it uses less digits than its factorization.

41530310640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 41530310640 in words is "forty-one billion, five hundred thirty million, three hundred ten thousand, six hundred forty".