1721200803840 has 1008 divisors, whose sum is σ = 7108435920768. Its totient is φ = 391378894848.

The previous prime is 1721200803797. The next prime is 1721200803841. The reversal of 1721200803840 is 483080021271.

1721200803840 is a `hidden beast` number, since 1 + 72 + 1 + 200 + 8 + 0 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 1721200803795 and 1721200803804.

It is not an unprimeable number, because it can be changed into a prime (1721200803841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8918138784 + ... + 8918138976.

Almost surely, 2^{1721200803840} is an apocalyptic number.

1721200803840 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 1721200803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554217960384).

1721200803840 is an abundant number, since it is smaller than the sum of its proper divisors (5387235116928).

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

1721200803840 is an frugal number, since it uses more digits than its factorization.

1721200803840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 1721200803840 in words is "one trillion, seven hundred twenty-one billion, two hundred million, eight hundred three thousand, eight hundred forty".