1601444409120 has 288 divisors, whose sum is σ = 5567672702592. Its totient is φ = 419071758336.

The previous prime is 1601444409073. The next prime is 1601444409163. The reversal of 1601444409120 is 219044441061.

It is a happy number.

1601444409120 is a `hidden beast` number, since 1 + 60 + 144 + 440 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25342684 + ... + 25405796.

It is an arithmetic number, because the mean of its divisors is an integer number (19332196884).

Almost surely, 2^{1601444409120} is an apocalyptic number.

1601444409120 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 1601444409120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2783836351296).

1601444409120 is an abundant number, since it is smaller than the sum of its proper divisors (3966228293472).

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

1601444409120 is a wasteful number, since it uses less digits than its factorization.

1601444409120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63464 (or 63453 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1601444409120 in words is "one trillion, six hundred one billion, four hundred forty-four million, four hundred nine thousand, one hundred twenty".