411054738432 has 352 divisors, whose sum is σ = 1289659521024. Its totient is φ = 115192627200.

The previous prime is 411054738431. The next prime is 411054738503. The reversal of 411054738432 is 234837450114.

It is not an unprimeable number, because it can be changed into a prime (411054738431) 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 31 ways as a sum of consecutive naturals, for example, 21036507 + ... + 21056037.

Almost surely, 2^411054738432 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 411054738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644829760512).

411054738432 is an abundant number, since it is smaller than the sum of its proper divisors (878604782592).

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

411054738432 is a wasteful number, since it uses less digits than its factorization.

411054738432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19615 (or 19597 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 411054738432 in words is "four hundred eleven billion, fifty-four million, seven hundred thirty-eight thousand, four hundred thirty-two".