41531060400 has 120 divisors (see below), whose sum is σ = 133153223184. Its totient is φ = 11065344000.

The previous prime is 41531060393. The next prime is 41531060419. The reversal of 41531060400 is 406013514.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1426792 + ... + 1455608.

Almost surely, 2^41531060400 is an apocalyptic number.

41531060400 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 41531060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66576611592).

41531060400 is an abundant number, since it is smaller than the sum of its proper divisors (91622162784).

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

41531060400 is a wasteful number, since it uses less digits than its factorization.

41531060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30039 (or 30028 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 41531060400 its reverse (406013514), we get a palindrome (41937073914).

The spelling of 41531060400 in words is "forty-one billion, five hundred thirty-one million, sixty thousand, four hundred".