1721007600400 has 360 divisors, whose sum is σ = 4818947415840. Its totient is φ = 585639936000.

The previous prime is 1721007600341. The next prime is 1721007600437. The reversal of 1721007600400 is 40067001271.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 227612620 + ... + 227620180.

It is an arithmetic number, because the mean of its divisors is an integer number (13385965044).

Almost surely, 2^{1721007600400} is an apocalyptic number.

1721007600400 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 1721007600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409473707920).

1721007600400 is an abundant number, since it is smaller than the sum of its proper divisors (3097939815440).

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

1721007600400 is a wasteful number, since it uses less digits than its factorization.

1721007600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7803 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The spelling of 1721007600400 in words is "one trillion, seven hundred twenty-one billion, seven million, six hundred thousand, four hundred".