41712962830560 has 960 divisors, whose sum is σ = 174326501099520. Its totient is φ = 9190664663040.

The previous prime is 41712962830549. The next prime is 41712962830579. The reversal of 41712962830560 is 6503826921714.

It is a happy number.

41712962830560 is a `hidden beast` number, since 4 + 1 + 7 + 1 + 2 + 9 + 628 + 3 + 0 + 5 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 41712962830497 and 41712962830506.

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 159 ways as a sum of consecutive naturals, for example, 1660072717 + ... + 1660097843.

It is an arithmetic number, because the mean of its divisors is an integer number (181590105312).

It is a 1-persistent number, because it is pandigital, but 2⋅41712962830560 = 83425925661120 is not.

Almost surely, 2^{41712962830560} is an apocalyptic number.

41712962830560 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 41712962830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87163250549760).

41712962830560 is an abundant number, since it is smaller than the sum of its proper divisors (132613538268960).

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

41712962830560 is a wasteful number, since it uses less digits than its factorization.

41712962830560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25821 (or 25804 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 41712962830560 in words is "forty-one trillion, seven hundred twelve billion, nine hundred sixty-two million, eight hundred thirty thousand, five hundred sixty".