41630002560 has 384 divisors, whose sum is σ = 152834441760. Its totient is φ = 10405478400.

The previous prime is 41630002559. The next prime is 41630002619. The reversal of 41630002560 is 6520003614.

41630002560 is a `hidden beast` number, since 4 + 1 + 630 + 0 + 0 + 25 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×41630002560² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 28689835 + ... + 28691285.

Almost surely, 2^41630002560 is an apocalyptic number.

41630002560 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 41630002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76417220880).

41630002560 is an abundant number, since it is smaller than the sum of its proper divisors (111204439200).

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

41630002560 is a wasteful number, since it uses less digits than its factorization.

41630002560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1771 counting only the distinct ones).

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

The spelling of 41630002560 in words is "forty-one billion, six hundred thirty million, two thousand, five hundred sixty".