41413200000 has 192 divisors, whose sum is σ = 137499949440. Its totient is φ = 11043200000.

The previous prime is 41413199981. The next prime is 41413200029. The reversal of 41413200000 is 231414.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1182745 + ... + 1217255.

It is an arithmetic number, because the mean of its divisors is an integer number (716145570).

Almost surely, 2^41413200000 is an apocalyptic number.

41413200000 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 41413200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68749974720).

41413200000 is an abundant number, since it is smaller than the sum of its proper divisors (96086749440).

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

41413200000 is an frugal number, since it uses more digits than its factorization.

41413200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34553 (or 34521 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 41413200000 its reverse (231414), we get a palindrome (41413431414).

The spelling of 41413200000 in words is "forty-one billion, four hundred thirteen million, two hundred thousand".