1641907041840 has 640 divisors, whose sum is σ = 6169562622720. Its totient is φ = 398938079232.

The previous prime is 1641907041833. The next prime is 1641907041857. The reversal of 1641907041840 is 481407091461.

1641907041840 is a `hidden beast` number, since 1 + 6 + 4 + 190 + 7 + 0 + 418 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 1680559432 + ... + 1680560408.

It is an arithmetic number, because the mean of its divisors is an integer number (9639941598).

Almost surely, 2^{1641907041840} is an apocalyptic number.

1641907041840 is a gapful number since it is divisible by the number (10) 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 1641907041840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084781311360).

1641907041840 is an abundant number, since it is smaller than the sum of its proper divisors (4527655580880).

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

1641907041840 is a wasteful number, since it uses less digits than its factorization.

1641907041840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 1641907041840 in words is "one trillion, six hundred forty-one billion, nine hundred seven million, forty-one thousand, eight hundred forty".