19697441712400 has 45 divisors (see below), whose sum is σ = 47323316969551. Its totient is φ = 7878941179520.

The previous prime is 19697441712331. The next prime is 19697441712427. The reversal of 19697441712400 is 421714479691.

The square root of 19697441712400 is 4438180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 280234714384 + 19417206998016 = 529372^2 + 4406496^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88652646 + ... + 88874554.

Almost surely, 2^{19697441712400} is an apocalyptic number.

19697441712400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19697441712400 is the 4438180-th square number.

It is an amenable number.

19697441712400 is an abundant number, since it is smaller than the sum of its proper divisors (27625875257151).

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

19697441712400 is an frugal number, since it uses more digits than its factorization.

19697441712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443836 (or 221916 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 55.

The spelling of 19697441712400 in words is "nineteen trillion, six hundred ninety-seven billion, four hundred forty-one million, seven hundred twelve thousand, four hundred".