1601836179840 has 1024 divisors, whose sum is σ = 6541153920000. Its totient is φ = 367156592640.

The previous prime is 1601836179767. The next prime is 1601836179841. The reversal of 1601836179840 is 489716381061.

1601836179840 is a `hidden beast` number, since 1 + 6 + 0 + 18 + 3 + 617 + 9 + 8 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1601836179841) 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 127 ways as a sum of consecutive naturals, for example, 251818260 + ... + 251824620.

It is an arithmetic number, because the mean of its divisors is an integer number (6387845625).

Almost surely, 2^{1601836179840} is an apocalyptic number.

1601836179840 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 1601836179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270576960000).

1601836179840 is an abundant number, since it is smaller than the sum of its proper divisors (4939317740160).

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

1601836179840 is a wasteful number, since it uses less digits than its factorization.

1601836179840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6480 (or 6462 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 1601836179840 in words is "one trillion, six hundred one billion, eight hundred thirty-six million, one hundred seventy-nine thousand, eight hundred forty".