411011310432 has 96 divisors (see below), whose sum is σ = 1116741638880. Its totient is φ = 132204441600.

The previous prime is 411011310421. The next prime is 411011310449. The reversal of 411011310432 is 234013110114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 411011310399 and 411011310408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4972998 + ... + 5054970.

It is an arithmetic number, because the mean of its divisors is an integer number (11632725405).

Almost surely, 2^411011310432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 411011310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558370819440).

411011310432 is an abundant number, since it is smaller than the sum of its proper divisors (705730328448).

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

411011310432 is a wasteful number, since it uses less digits than its factorization.

411011310432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83816 (or 83808 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 411011310432 its reverse (234013110114), we get a palindrome (645024420546).

The spelling of 411011310432 in words is "four hundred eleven billion, eleven million, three hundred ten thousand, four hundred thirty-two".