41334510400 has 84 divisors (see below), whose sum is σ = 101752237440. Its totient is φ = 16526732800.

The previous prime is 41334510391. The next prime is 41334510401. The reversal of 41334510400 is 401543314.

41334510400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41334510401) 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, 5370555 + ... + 5378245.

It is an arithmetic number, because the mean of its divisors is an integer number (1211336160).

Almost surely, 2^41334510400 is an apocalyptic number.

41334510400 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 41334510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50876118720).

41334510400 is an abundant number, since it is smaller than the sum of its proper divisors (60417727040).

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

41334510400 is a wasteful number, since it uses less digits than its factorization.

41334510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11072 (or 11057 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The spelling of 41334510400 in words is "forty-one billion, three hundred thirty-four million, five hundred ten thousand, four hundred".