41300160 has 112 divisors (see below), whose sum is σ = 143085312. Its totient is φ = 10009600.

The previous prime is 41300137. The next prime is 41300227. The reversal of 41300160 is 6100314.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8605 + ... + 12515.

Almost surely, 2^41300160 is an apocalyptic number.

41300160 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 41300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71542656).

41300160 is an abundant number, since it is smaller than the sum of its proper divisors (101785152).

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

41300160 is a wasteful number, since it uses less digits than its factorization.

41300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3942 (or 3932 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 41300160 is about 6426.5200536527. The cubic root of 41300160 is about 345.6611560156.

Multiplying 41300160 by its sum of digits (15), we get a triangular number (619502400 = T₃₅₁₉₉).

Adding to 41300160 its reverse (6100314), we get a palindrome (47400474).

The spelling of 41300160 in words is "forty-one million, three hundred thousand, one hundred sixty".