1374427969600 has 567 divisors, whose sum is σ = 4061134834407. Its totient is φ = 456488847360.

The previous prime is 1374427969559. The next prime is 1374427969613. The reversal of 1374427969600 is 69697244731.

The square root of 1374427969600 is 1172360.

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 10353469504 + 1364074500096 = 101752^2 + 1167936^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 17397822361 + ... + 17397822439.

Almost surely, 2^{1374427969600} is an apocalyptic number.

1374427969600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1374427969600 is the 1172360-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374427969600

1374427969600 is an abundant number, since it is smaller than the sum of its proper divisors (2686706864807).

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

1374427969600 is an frugal number, since it uses more digits than its factorization.

1374427969600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 1374427969600 in words is "one trillion, three hundred seventy-four billion, four hundred twenty-seven million, nine hundred sixty-nine thousand, six hundred".