411126781440 has 640 divisors, whose sum is σ = 1447909613568. Its totient is φ = 99066839040.

The previous prime is 411126781411. The next prime is 411126781441. The reversal of 411126781440 is 44187621114.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (411126781441) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 635435197 + ... + 635435843.

Almost surely, 2^411126781440 is an apocalyptic number.

411126781440 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 411126781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723954806784).

411126781440 is an abundant number, since it is smaller than the sum of its proper divisors (1036782832128).

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

411126781440 is a wasteful number, since it uses less digits than its factorization.

411126781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The spelling of 411126781440 in words is "four hundred eleven billion, one hundred twenty-six million, seven hundred eighty-one thousand, four hundred forty".