411051268320 has 1152 divisors, whose sum is σ = 1729747353600. Its totient is φ = 80089067520.

The previous prime is 411051268231. The next prime is 411051268333. The reversal of 411051268320 is 23862150114.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 981029071 + ... + 981029489.

It is an arithmetic number, because the mean of its divisors is an integer number (1501516800).

Almost surely, 2^411051268320 is an apocalyptic number.

411051268320 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 411051268320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864873676800).

411051268320 is an abundant number, since it is smaller than the sum of its proper divisors (1318696085280).

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

411051268320 is a wasteful number, since it uses less digits than its factorization.

411051268320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 411051268320 in words is "four hundred eleven billion, fifty-one million, two hundred sixty-eight thousand, three hundred twenty".