41504010000 has 400 divisors, whose sum is σ = 139106721600. Its totient is φ = 10651392000.

The previous prime is 41504009993. The next prime is 41504010049. The reversal of 41504010000 is 1040514.

41504010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 154289866 + ... + 154290134.

It is an arithmetic number, because the mean of its divisors is an integer number (347766804).

Almost surely, 2^41504010000 is an apocalyptic number.

41504010000 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 41504010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69553360800).

41504010000 is an abundant number, since it is smaller than the sum of its proper divisors (97602711600).

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

41504010000 is a wasteful number, since it uses less digits than its factorization.

41504010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 41504010000 its reverse (1040514), we get a palindrome (41505050514).

The spelling of 41504010000 in words is "forty-one billion, five hundred four million, ten thousand".