41938918560 has 384 divisors, whose sum is σ = 183007641600. Its totient is φ = 8714511360.

The previous prime is 41938918559. The next prime is 41938918561. The reversal of 41938918560 is 6581983914.

41938918560 is a `hidden beast` number, since 41 + 9 + 38 + 9 + 1 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (41938918559) and next prime (41938918561).

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 = 41938918497 and 41938918506.

It is not an unprimeable number, because it can be changed into a prime (41938918561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 269601 + ... + 395679.

It is an arithmetic number, because the mean of its divisors is an integer number (476582400).

Almost surely, 2^41938918560 is an apocalyptic number.

41938918560 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 41938918560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91503820800).

41938918560 is an abundant number, since it is smaller than the sum of its proper divisors (141068723040).

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

41938918560 is a wasteful number, since it uses less digits than its factorization.

41938918560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126121 (or 126107 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 41938918560 in words is "forty-one billion, nine hundred thirty-eight million, nine hundred eighteen thousand, five hundred sixty".