41441042400 has 144 divisors (see below), whose sum is σ = 134958580848. Its totient is φ = 11045376000.

The previous prime is 41441042393. The next prime is 41441042417. The reversal of 41441042400 is 424014414.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7343580 + ... + 7349220.

It is an arithmetic number, because the mean of its divisors is an integer number (937212367).

Almost surely, 2^41441042400 is an apocalyptic number.

41441042400 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 41441042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67479290424).

41441042400 is an abundant number, since it is smaller than the sum of its proper divisors (93517538448).

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

41441042400 is a wasteful number, since it uses less digits than its factorization.

41441042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8725 (or 8712 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 41441042400 its reverse (424014414), we get a palindrome (41865056814).

The spelling of 41441042400 in words is "forty-one billion, four hundred forty-one million, forty-two thousand, four hundred".