41075889360 has 240 divisors, whose sum is σ = 143381448000. Its totient is φ = 9714636800.

The previous prime is 41075889343. The next prime is 41075889377. The reversal of 41075889360 is 6398857014.

It is an interprime number because it is at equal distance from previous prime (41075889343) and next prime (41075889377).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×41075889360² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1173391 + ... + 1207889.

It is an arithmetic number, because the mean of its divisors is an integer number (597422700).

Almost surely, 2^41075889360 is an apocalyptic number.

41075889360 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 41075889360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71690724000).

41075889360 is an abundant number, since it is smaller than the sum of its proper divisors (102305558640).

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

41075889360 is a wasteful number, since it uses less digits than its factorization.

41075889360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34578 (or 34561 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 41075889360 in words is "forty-one billion, seventy-five million, eight hundred eighty-nine thousand, three hundred sixty".