1722128361408 has 560 divisors, whose sum is σ = 6328430563840. Its totient is φ = 450902992896.

The previous prime is 1722128361407. The next prime is 1722128361413. The reversal of 1722128361408 is 8041638212271.

1722128361408 is a `hidden beast` number, since 1 + 7 + 2 + 2 + 1 + 28 + 3 + 614 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1722128361407) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 65559285 + ... + 65585547.

It is an arithmetic number, because the mean of its divisors is an integer number (11300768864).

Almost surely, 2^{1722128361408} is an apocalyptic number.

1722128361408 is a gapful number since it is divisible by the number (18) 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 1722128361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164215281920).

1722128361408 is an abundant number, since it is smaller than the sum of its proper divisors (4606302202432).

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

1722128361408 is a wasteful number, since it uses less digits than its factorization.

1722128361408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26446 (or 26427 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1722128361408 in words is "one trillion, seven hundred twenty-two billion, one hundred twenty-eight million, three hundred sixty-one thousand, four hundred eight".