41600 has 48 divisors (see below), whose sum is σ = 110670. Its totient is φ = 15360.

The previous prime is 41597. The next prime is 41603. The reversal of 41600 is 614.

It is an interprime number because it is at equal distance from previous prime (41597) and next prime (41603).

It can be written as a sum of positive squares in 3 ways, for example, as 23104 + 18496 = 152^2 + 136^2 .

It is a hoax number, since the sum of its digits (11) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 41600.

It is not an unprimeable number, because it can be changed into a prime (41603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3194 + ... + 3206.

2⁴¹⁶⁰⁰ is an apocalyptic number.

41600 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 41600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55335).

41600 is an abundant number, since it is smaller than the sum of its proper divisors (69070).

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

41600 is a wasteful number, since it uses less digits than its factorization.

41600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 41600 is about 203.9607805437. The cubic root of 41600 is about 34.6495642136.

It can be divided in two parts, 4 and 1600, that multiplied together give a square (6400 = 80²).

The spelling of 41600 in words is "forty-one thousand, six hundred".