411073981032 has 512 divisors, whose sum is σ = 1298796871680. Its totient is φ = 106625756160.

The previous prime is 411073981013. The next prime is 411073981037. The reversal of 411073981032 is 230189370114.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (411073981037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 553262053 + ... + 553262795.

It is an arithmetic number, because the mean of its divisors is an integer number (2536712640).

Almost surely, 2^411073981032 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 411073981032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649398435840).

411073981032 is an abundant number, since it is smaller than the sum of its proper divisors (887722890648).

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

411073981032 is a wasteful number, since it uses less digits than its factorization.

411073981032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 411073981032 in words is "four hundred eleven billion, seventy-three million, nine hundred eighty-one thousand, thirty-two".