41142400 has 192 divisors, whose sum is σ = 116867520. Its totient is φ = 14192640.

The previous prime is 41142383. The next prime is 41142403. The reversal of 41142400 is 424114.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (41142403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 956779 + ... + 956821.

It is an arithmetic number, because the mean of its divisors is an integer number (608685).

Almost surely, 2^41142400 is an apocalyptic number.

41142400 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 41142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58433760).

41142400 is an abundant number, since it is smaller than the sum of its proper divisors (75725120).

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

41142400 is a wasteful number, since it uses less digits than its factorization.

41142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 41142400 is about 6414.2341709669. The cubic root of 41142400 is about 345.2204709951.

Adding to 41142400 its reverse (424114), we get a palindrome (41566514).

The spelling of 41142400 in words is "forty-one million, one hundred forty-two thousand, four hundred".