1380719001600 has 1197 divisors, whose sum is σ = 5453675841247. Its totient is φ = 346533396480.

The previous prime is 1380719001581. The next prime is 1380719001611. The reversal of 1380719001600 is 61009170831.

The square root of 1380719001600 is 1175040.

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

1380719001600 is a `hidden beast` number, since 1 + 38 + 0 + 7 + 19 + 0 + 0 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32296402944 + 1348422598656 = 179712^2 + 1161216^2 .

It is a super-2 number, since 2×1380719001600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 81218764792 + ... + 81218764808.

Almost surely, 2^{1380719001600} is an apocalyptic number.

1380719001600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1380719001600 is the 1175040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380719001600

1380719001600 is an abundant number, since it is smaller than the sum of its proper divisors (4072956839647).

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

1380719001600 is an frugal number, since it uses more digits than its factorization.

1380719001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

Multiplying 1380719001600 by its sum of digits (36), we get a square (49705884057600 = 7050240²).

1380719001600 divided by its sum of digits (36) gives a square (38353305600 = 195840²).

The spelling of 1380719001600 in words is "one trillion, three hundred eighty billion, seven hundred nineteen million, one thousand, six hundred".