411043432400 has 30 divisors (see below), whose sum is σ = 987531847302. Its totient is φ = 164417372800.

The previous prime is 411043432357. The next prime is 411043432403. The reversal of 411043432400 is 4234340114.

It can be written as a sum of positive squares in 3 ways, for example, as 1658444176 + 409384988224 = 40724^2 + 639832^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 411043432400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411043432403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 513803891 + ... + 513804690.

Almost surely, 2^411043432400 is an apocalyptic number.

411043432400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

411043432400 is an abundant number, since it is smaller than the sum of its proper divisors (576488414902).

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

411043432400 is a wasteful number, since it uses less digits than its factorization.

411043432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027608599 (or 1027608588 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 411043432400 its reverse (4234340114), we get a palindrome (415277772514).

The spelling of 411043432400 in words is "four hundred eleven billion, forty-three million, four hundred thirty-two thousand, four hundred".