41398580160 has 336 divisors, whose sum is σ = 171302476800. Its totient is φ = 8964421632.

The previous prime is 41398580137. The next prime is 41398580161. The reversal of 41398580160 is 6108589314.

41398580160 is a `hidden beast` number, since 4 + 1 + 3 + 9 + 8 + 580 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41398580161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329001 + ... + 437079.

It is an arithmetic number, because the mean of its divisors is an integer number (509828800).

Almost surely, 2^41398580160 is an apocalyptic number.

41398580160 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 41398580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85651238400).

41398580160 is an abundant number, since it is smaller than the sum of its proper divisors (129903896640).

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

41398580160 is a wasteful number, since it uses less digits than its factorization.

41398580160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108128 (or 108115 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 41398580160 in words is "forty-one billion, three hundred ninety-eight million, five hundred eighty thousand, one hundred sixty".