1641824171904 has 384 divisors, whose sum is σ = 5228592526080. Its totient is φ = 447116820480.

The previous prime is 1641824171903. The next prime is 1641824171947. The reversal of 1641824171904 is 4091714281461.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1641824171904² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1641824171903) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 436537384 + ... + 436541144.

It is an arithmetic number, because the mean of its divisors is an integer number (13616126370).

Almost surely, 2^{1641824171904} is an apocalyptic number.

1641824171904 is a gapful number since it is divisible by the number (14) 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 1641824171904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614296263040).

1641824171904 is an abundant number, since it is smaller than the sum of its proper divisors (3586768354176).

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

1641824171904 is a wasteful number, since it uses less digits than its factorization.

1641824171904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4138 (or 4103 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 1641824171904 in words is "one trillion, six hundred forty-one billion, eight hundred twenty-four million, one hundred seventy-one thousand, nine hundred four".