411073146432 has 168 divisors, whose sum is σ = 1287843292736. Its totient is φ = 124596071424.

The previous prime is 411073146401. The next prime is 411073146469. The reversal of 411073146432 is 234641370114.

411073146432 is a `hidden beast` number, since 4 + 1 + 1 + 0 + 7 + 3 + 1 + 4 + 643 + 2 = 666.

It is a super-2 number, since 2×411073146432² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 92013 + ... + 911379.

Almost surely, 2^411073146432 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 411073146432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643921646368).

411073146432 is an abundant number, since it is smaller than the sum of its proper divisors (876770146304).

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

411073146432 is a wasteful number, since it uses less digits than its factorization.

411073146432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819465 (or 819452 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 411073146432 in words is "four hundred eleven billion, seventy-three million, one hundred forty-six thousand, four hundred thirty-two".