1929376560400 has 135 divisors (see below), whose sum is σ = 4672124404911. Its totient is φ = 765672272640.

The previous prime is 1929376560379. The next prime is 1929376560403. The reversal of 1929376560400 is 40656739291.

It is a happy number.

The square root of 1929376560400 is 1389020.

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 19850555664 + 1909526004736 = 140892^2 + 1381856^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1929376560403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5528299426 + ... + 5528299774.

Almost surely, 2^{1929376560400} is an apocalyptic number.

1929376560400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1929376560400 is the 1389020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1929376560400

1929376560400 is an abundant number, since it is smaller than the sum of its proper divisors (2742747844511).

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

1929376560400 is an frugal number, since it uses more digits than its factorization.

1929376560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 1929376560400 in words is "one trillion, nine hundred twenty-nine billion, three hundred seventy-six million, five hundred sixty thousand, four hundred".