411328150272000 has 1920 divisors, whose sum is σ = 1661316375438720. Its totient is φ = 100632703795200.

The previous prime is 411328150271977. The next prime is 411328150272041. The reversal of 411328150272000 is 272051823114.

411328150272000 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 2 + 81 + 502 + 72 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 45017851432 + ... + 45017860568.

It is an arithmetic number, because the mean of its divisors is an integer number (865268945541).

Almost surely, 2^{411328150272000} is an apocalyptic number.

411328150272000 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 411328150272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830658187719360).

411328150272000 is an abundant number, since it is smaller than the sum of its proper divisors (1249988225166720).

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

411328150272000 is a wasteful number, since it uses less digits than its factorization.

411328150272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9366 (or 9327 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 411328150272000 in words is "four hundred eleven trillion, three hundred twenty-eight billion, one hundred fifty million, two hundred seventy-two thousand".