410052252032 has 128 divisors (see below), whose sum is σ = 869691168000. Its totient is φ = 192148363264.

The previous prime is 410052251977. The next prime is 410052252037. The reversal of 410052252032 is 230252250014.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 410052251992 and 410052252010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410052252037) 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 15 ways as a sum of consecutive naturals, for example, 158995319 + ... + 158997897.

It is an arithmetic number, because the mean of its divisors is an integer number (6794462250).

Almost surely, 2^410052252032 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 410052252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434845584000).

410052252032 is an abundant number, since it is smaller than the sum of its proper divisors (459638915968).

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

410052252032 is a wasteful number, since it uses less digits than its factorization.

410052252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3688 (or 3676 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 410052252032 in words is "four hundred ten billion, fifty-two million, two hundred fifty-two thousand, thirty-two".