41424042400 has 144 divisors (see below), whose sum is σ = 109175621688. Its totient is φ = 15257088000.

The previous prime is 41424042371. The next prime is 41424042403. The reversal of 41424042400 is 424042414.

It can be written as a sum of positive squares in 12 ways, for example, as 1185287184 + 40238755216 = 34428^2 + 200596^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (41424042403) 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, 4373670 + ... + 4383130.

Almost surely, 2^41424042400 is an apocalyptic number.

41424042400 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 41424042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54587810844).

41424042400 is an abundant number, since it is smaller than the sum of its proper divisors (67751579288).

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

41424042400 is a wasteful number, since it uses less digits than its factorization.

41424042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9915 (or 9902 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 41424042400 its reverse (424042414), we get a palindrome (41848084814).

The spelling of 41424042400 in words is "forty-one billion, four hundred twenty-four million, forty-two thousand, four hundred".