41284572400 has 120 divisors (see below), whose sum is σ = 103538908800. Its totient is φ = 15801139200.

The previous prime is 41284572391. The next prime is 41284572451. The reversal of 41284572400 is 427548214.

It is a self number, because there is not a number n which added to its sum of digits gives 41284572400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1084896 + ... + 1122304.

It is an arithmetic number, because the mean of its divisors is an integer number (862824240).

Almost surely, 2^41284572400 is an apocalyptic number.

41284572400 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 41284572400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51769454400).

41284572400 is an abundant number, since it is smaller than the sum of its proper divisors (62254336400).

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

41284572400 is a wasteful number, since it uses less digits than its factorization.

41284572400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37547 (or 37536 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 37.

The spelling of 41284572400 in words is "forty-one billion, two hundred eighty-four million, five hundred seventy-two thousand, four hundred".