411419616400 has 135 divisors (see below), whose sum is σ = 1070751899691. Its totient is φ = 151847205120.

The previous prime is 411419616353. The next prime is 411419616457. The reversal of 411419616400 is 4616914114.

The square root of 411419616400 is 641420.

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

It can be written as a sum of positive squares in 4 ways, for example, as 106044014736 + 305375601664 = 325644^2 + 552608^2 .

It is a super-2 number, since 2×411419616400² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 411419616400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 166767967 + ... + 166770433.

Almost surely, 2^411419616400 is an apocalyptic number.

411419616400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

411419616400 is the 641420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411419616400

411419616400 is an abundant number, since it is smaller than the sum of its proper divisors (659332283291).

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

411419616400 is an equidigital number, since it uses as much as digits as its factorization.

411419616400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4978 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 411419616400 in words is "four hundred eleven billion, four hundred nineteen million, six hundred sixteen thousand, four hundred".