1641829408128 has 1152 divisors, whose sum is σ = 6208162272000. Its totient is φ = 406655188992.

The previous prime is 1641829408103. The next prime is 1641829408129. The reversal of 1641829408128 is 8218049281461.

1641829408128 is a `hidden beast` number, since 16 + 418 + 2 + 94 + 0 + 8 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641829408129) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4220640958 + ... + 4220641346.

It is an arithmetic number, because the mean of its divisors is an integer number (5389029750).

Almost surely, 2^{1641829408128} is an apocalyptic number.

1641829408128 is a gapful number since it is divisible by the number (18) 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 1641829408128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104081136000).

1641829408128 is an abundant number, since it is smaller than the sum of its proper divisors (4566332863872).

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

1641829408128 is a wasteful number, since it uses less digits than its factorization.

1641829408128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 1641829408128 in words is "one trillion, six hundred forty-one billion, eight hundred twenty-nine million, four hundred eight thousand, one hundred twenty-eight".