41242947840 has 216 divisors, whose sum is σ = 142972240320. Its totient is φ = 10976858112.

The previous prime is 41242947833. The next prime is 41242947841. The reversal of 41242947840 is 4874924214.

41242947840 is a `hidden beast` number, since 412 + 42 + 94 + 78 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (41242947841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6482581 + ... + 6488939.

It is an arithmetic number, because the mean of its divisors is an integer number (661908520).

Almost surely, 2^41242947840 is an apocalyptic number.

41242947840 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 41242947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71486120160).

41242947840 is an abundant number, since it is smaller than the sum of its proper divisors (101729292480).

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

41242947840 is a wasteful number, since it uses less digits than its factorization.

41242947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6949 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 41242947840 in words is "forty-one billion, two hundred forty-two million, nine hundred forty-seven thousand, eight hundred forty".