1379379780900 has 243 divisors, whose sum is σ = 4753710692913. Its totient is φ = 334301140800.

The previous prime is 1379379780881. The next prime is 1379379780967. The reversal of 1379379780900 is 90879739731.

The square root of 1379379780900 is 1174470.

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., 496576721124 + 882803059776 = 704682^2 + 939576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 387573321 + ... + 387576879.

Almost surely, 2^{1379379780900} is an apocalyptic number.

1379379780900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1379379780900 is the 1174470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1379379780900

1379379780900 is an abundant number, since it is smaller than the sum of its proper divisors (3374330912013).

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

1379379780900 is a wasteful number, since it uses less digits than its factorization.

1379379780900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7160 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 18003384, while the sum is 63.

The spelling of 1379379780900 in words is "one trillion, three hundred seventy-nine billion, three hundred seventy-nine million, seven hundred eighty thousand, nine hundred".