41789030400 has 648 divisors, whose sum is σ = 162691188660. Its totient is φ = 10192158720.

The previous prime is 41789030399. The next prime is 41789030417. The reversal of 41789030400 is 403098714.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 11395989504 + 30393040896 = 106752^2 + 174336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 383385546 + ... + 383385654.

Almost surely, 2^41789030400 is an apocalyptic number.

41789030400 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 41789030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81345594330).

41789030400 is an abundant number, since it is smaller than the sum of its proper divisors (120902158260).

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

41789030400 is a wasteful number, since it uses less digits than its factorization.

41789030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 41789030400 in words is "forty-one billion, seven hundred eighty-nine million, thirty thousand, four hundred".