41021330400 has 216 divisors, whose sum is σ = 144786764304. Its totient is φ = 10928793600.

The previous prime is 41021330393. The next prime is 41021330401. The reversal of 41021330400 is 403312014.

41021330400 is a `hidden beast` number, since 410 + 213 + 3 + 0 + 40 + 0 = 666.

41021330400 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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41021330401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10661277 + ... + 10665123.

It is an arithmetic number, because the mean of its divisors is an integer number (670309094).

Almost surely, 2^41021330400 is an apocalyptic number.

41021330400 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 41021330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72393382152).

41021330400 is an abundant number, since it is smaller than the sum of its proper divisors (103765433904).

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

41021330400 is a wasteful number, since it uses less digits than its factorization.

41021330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5354 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 41021330400 its reverse (403312014), we get a palindrome (41424642414).

The spelling of 41021330400 in words is "forty-one billion, twenty-one million, three hundred thirty thousand, four hundred".