411040000000000 has 660 divisors, whose sum is σ = 1177564038383488. Its totient is φ = 140544000000000.

The previous prime is 411039999999991. The next prime is 411040000000033. The reversal of 411040000000000 is 40114.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

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 43 ways as a sum of consecutive naturals, for example, 1119999999817 + ... + 1120000000183.

Almost surely, 2^{411040000000000} is an apocalyptic number.

411040000000000 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 411040000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588782019191744).

411040000000000 is an abundant number, since it is smaller than the sum of its proper divisors (766524038383488).

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

411040000000000 is an frugal number, since it uses more digits than its factorization.

411040000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 411040000000000 its reverse (40114), we get a palindrome (411040000040114).

The spelling of 411040000000000 in words is "four hundred eleven trillion, forty billion", and thus it is an aban number.