41248800 has 216 divisors, whose sum is σ = 154466676. Its totient is φ = 10321920.

The previous prime is 41248793. The next prime is 41248807. The reversal of 41248800 is 884214.

It is an interprime number because it is at equal distance from previous prime (41248793) and next prime (41248807).

It can be written as a sum of positive squares in 6 ways, for example, as 15968016 + 25280784 = 3996^2 + 5028^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41248807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 122232 + ... + 122568.

Almost surely, 2^41248800 is an apocalyptic number.

41248800 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 41248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77233338).

41248800 is an abundant number, since it is smaller than the sum of its proper divisors (113217876).

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

41248800 is a wasteful number, since it uses less digits than its factorization.

41248800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 41248800 is about 6422.5228687798. The cubic root of 41248800 is about 345.5178109598.

The spelling of 41248800 in words is "forty-one million, two hundred forty-eight thousand, eight hundred".