41412410400 has 72 divisors (see below), whose sum is σ = 134797403664. Its totient is φ = 11043308800.

The previous prime is 41412410371. The next prime is 41412410401. The reversal of 41412410400 is 401421414.

It is not an unprimeable number, because it can be changed into a prime (41412410401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8625186 + ... + 8629985.

It is an arithmetic number, because the mean of its divisors is an integer number (1872186162).

Almost surely, 2^41412410400 is an apocalyptic number.

41412410400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41412410400 is an abundant number, since it is smaller than the sum of its proper divisors (93384993264).

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

41412410400 is a wasteful number, since it uses less digits than its factorization.

41412410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17255194 (or 17255181 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 41412410400 its reverse (401421414), we get a palindrome (41813831814).

The spelling of 41412410400 in words is "forty-one billion, four hundred twelve million, four hundred ten thousand, four hundred".