1722216038400 has 2160 divisors, whose sum is σ = 7578249002688. Its totient is φ = 385391001600.

The previous prime is 1722216038383. The next prime is 1722216038423. The reversal of 1722216038400 is 48306122271.

It is a happy number.

1722216038400 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 2 + 1 + 603 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 132478156794 + ... + 132478156806.

Almost surely, 2^{1722216038400} is an apocalyptic number.

1722216038400 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 1722216038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789124501344).

1722216038400 is an abundant number, since it is smaller than the sum of its proper divisors (5856032964288).

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

1722216038400 is an frugal number, since it uses more digits than its factorization.

1722216038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 1722216038400 in words is "one trillion, seven hundred twenty-two billion, two hundred sixteen million, thirty-eight thousand, four hundred".