41624160400 has 75 divisors (see below), whose sum is σ = 101002065805. Its totient is φ = 16484816000.

The previous prime is 41624160367. The next prime is 41624160407. The reversal of 41624160400 is 406142614.

The square root of 41624160400 is 204020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 2445500304 + 39178660096 = 49452^2 + 197936^2 .

It is not an unprimeable number, because it can be changed into a prime (41624160407) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 412120350 + ... + 412120450.

Almost surely, 2^41624160400 is an apocalyptic number.

41624160400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

41624160400 is the 204020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41624160400

41624160400 is an abundant number, since it is smaller than the sum of its proper divisors (59377905405).

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

41624160400 is an frugal number, since it uses more digits than its factorization.

41624160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 41624160400 in words is "forty-one billion, six hundred twenty-four million, one hundred sixty thousand, four hundred".