1730040721200 has 1440 divisors, whose sum is σ = 7187140945920. Its totient is φ = 383885568000.

The previous prime is 1730040721187. The next prime is 1730040721223. The reversal of 1730040721200 is 21270400371.

It is a happy number.

1730040721200 is a `hidden beast` number, since 1 + 7 + 30 + 0 + 407 + 21 + 200 = 666.

It is a super-2 number, since 2×1730040721200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2822252094 + ... + 2822252706.

Almost surely, 2^{1730040721200} is an apocalyptic number.

1730040721200 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 1730040721200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593570472960).

1730040721200 is an abundant number, since it is smaller than the sum of its proper divisors (5457100224720).

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

1730040721200 is a wasteful number, since it uses less digits than its factorization.

1730040721200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 1730040721200 in words is "one trillion, seven hundred thirty billion, forty million, seven hundred twenty-one thousand, two hundred".