411003133040 has 160 divisors (see below), whose sum is σ = 984491988480. Its totient is φ = 159518886912.

The previous prime is 411003133039. The next prime is 411003133063. The reversal of 411003133040 is 40331300114.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108757871 + ... + 108761649.

It is an arithmetic number, because the mean of its divisors is an integer number (6153074928).

Almost surely, 2^411003133040 is an apocalyptic number.

411003133040 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 411003133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492245994240).

411003133040 is an abundant number, since it is smaller than the sum of its proper divisors (573488855440).

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

411003133040 is a wasteful number, since it uses less digits than its factorization.

411003133040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4159 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 411003133040 its reverse (40331300114), we get a palindrome (451334433154).

The spelling of 411003133040 in words is "four hundred eleven billion, three million, one hundred thirty-three thousand, forty".