41248400 has 60 divisors (see below), whose sum is σ = 100178484. Its totient is φ = 16320000.

The previous prime is 41248381. The next prime is 41248421. The reversal of 41248400 is 484214.

It can be written as a sum of positive squares in 6 ways, for example, as 1507984 + 39740416 = 1228^2 + 6304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39890 + ... + 40910.

Almost surely, 2^41248400 is an apocalyptic number.

41248400 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 41248400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50089242).

41248400 is an abundant number, since it is smaller than the sum of its proper divisors (58930084).

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

41248400 is a wasteful number, since it uses less digits than its factorization.

41248400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 41248400 is about 6422.4917282936. The cubic root of 41248400 is about 345.5166940985.

The spelling of 41248400 in words is "forty-one million, two hundred forty-eight thousand, four hundred".