41473682400 has 144 divisors (see below), whose sum is σ = 135127851264. Its totient is φ = 11048916480.

The previous prime is 41473682387. The next prime is 41473682407. The reversal of 41473682400 is 428637414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41473682407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2639367 + ... + 2655033.

It is an arithmetic number, because the mean of its divisors is an integer number (938387856).

Almost surely, 2^41473682400 is an apocalyptic number.

41473682400 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 41473682400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67563925632).

41473682400 is an abundant number, since it is smaller than the sum of its proper divisors (93654168864).

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

41473682400 is a wasteful number, since it uses less digits than its factorization.

41473682400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16793 (or 16780 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The spelling of 41473682400 in words is "forty-one billion, four hundred seventy-three million, six hundred eighty-two thousand, four hundred".