1672831824400 has 135 divisors (see below), whose sum is σ = 4418306374573. Its totient is φ = 608199011200.

The previous prime is 1672831824397. The next prime is 1672831824409. The reversal of 1672831824400 is 44281382761.

The square root of 1672831824400 is 1293380.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 602219456784 + 1070612367616 = 776028^2 + 1034704^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1672831824409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 284540661 + ... + 284546539.

Almost surely, 2^{1672831824400} is an apocalyptic number.

1672831824400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1672831824400 is the 1293380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1672831824400

1672831824400 is an abundant number, since it is smaller than the sum of its proper divisors (2745474550173).

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

1672831824400 is an frugal number, since it uses more digits than its factorization.

1672831824400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11798 (or 5897 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 1672831824400 in words is "one trillion, six hundred seventy-two billion, eight hundred thirty-one million, eight hundred twenty-four thousand, four hundred".