41232144342400 has 384 divisors, whose sum is σ = 112851242460000. Its totient is φ = 14761112371200.

The previous prime is 41232144342391. The next prime is 41232144342419. The reversal of 41232144342400 is 424344123214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602343376 + ... + 602411824.

Almost surely, 2^{41232144342400} is an apocalyptic number.

41232144342400 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 41232144342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56425621230000).

41232144342400 is an abundant number, since it is smaller than the sum of its proper divisors (71619098117600).

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

41232144342400 is a wasteful number, since it uses less digits than its factorization.

41232144342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68750 (or 68733 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 41232144342400 its reverse (424344123214), we get a palindrome (41656488465614).

The spelling of 41232144342400 in words is "forty-one trillion, two hundred thirty-two billion, one hundred forty-four million, three hundred forty-two thousand, four hundred".