41442430400 has 168 divisors, whose sum is σ = 121609835520. Its totient is φ = 13590973440.

The previous prime is 41442430387. The next prime is 41442430409. The reversal of 41442430400 is 403424414.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 41442430400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41442430409) 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, 177161 + ... + 338039.

Almost surely, 2^41442430400 is an apocalyptic number.

41442430400 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 41442430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60804917760).

41442430400 is an abundant number, since it is smaller than the sum of its proper divisors (80167405120).

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

41442430400 is a wasteful number, since it uses less digits than its factorization.

41442430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160931 (or 160916 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 41442430400 its reverse (403424414), we get a palindrome (41845854814).

The spelling of 41442430400 in words is "forty-one billion, four hundred forty-two million, four hundred thirty thousand, four hundred".