41563232400 has 240 divisors, whose sum is σ = 136564465664. Its totient is φ = 10799792640.

The previous prime is 41563232383. The next prime is 41563232407. The reversal of 41563232400 is 423236514.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (41563232407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31320537 + ... + 31321863.

Almost surely, 2^41563232400 is an apocalyptic number.

41563232400 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 41563232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68282232832).

41563232400 is an abundant number, since it is smaller than the sum of its proper divisors (95001233264).

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

41563232400 is a wasteful number, since it uses less digits than its factorization.

41563232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 41563232400 its reverse (423236514), we get a palindrome (41986468914).

The spelling of 41563232400 in words is "forty-one billion, five hundred sixty-three million, two hundred thirty-two thousand, four hundred".