41150400 has 84 divisors (see below), whose sum is σ = 135023352. Its totient is φ = 10972160.

The previous prime is 41150359. The next prime is 41150437. The reversal of 41150400 is 405114.

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

It is a self number, because there is not a number n which added to its sum of digits gives 41150400.

It is a congruent number.

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, 514 + ... + 9086.

Almost surely, 2^41150400 is an apocalyptic number.

41150400 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 41150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67511676).

41150400 is an abundant number, since it is smaller than the sum of its proper divisors (93872952).

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

41150400 is a wasteful number, since it uses less digits than its factorization.

41150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8598 (or 8583 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 41150400 is about 6414.8577536840. The cubic root of 41150400 is about 345.2428451944.

Adding to 41150400 its reverse (405114), we get a palindrome (41555514).

The spelling of 41150400 in words is "forty-one million, one hundred fifty thousand, four hundred".