41441400 has 576 divisors, whose sum is σ = 194987520. Its totient is φ = 7603200.

The previous prime is 41441399. The next prime is 41441401. The reversal of 41441400 is 414414.

41441400 = 397² + 398² + ... + 571².

It is an interprime number because it is at equal distance from previous prime (41441399) and next prime (41441401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41441401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1801789 + ... + 1801811.

It is an arithmetic number, because the mean of its divisors is an integer number (338520).

Almost surely, 2^41441400 is an apocalyptic number.

41441400 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 41441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

41441400 is an abundant number, since it is smaller than the sum of its proper divisors (153546120).

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

41441400 is a wasteful number, since it uses less digits than its factorization.

41441400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 41441400 is about 6437.4995145631. The cubic root of 41441400 is about 346.0547431397.

Adding to 41441400 its reverse (414414), we get a palindrome (41855814).

Multiplying 41441400 by its reverse (414414), we get a square (17173896339600 = 4144140²).

41441400 divided by its reverse (414414) gives a square (100 = 10²).

It can be divided in two parts, 414 and 41400, that multiplied together give a square (17139600 = 4140²).

The spelling of 41441400 in words is "forty-one million, four hundred forty-one thousand, four hundred".