1370828838976 has 63 divisors (see below), whose sum is σ = 2890000790599. Its totient is φ = 645020991488.

The previous prime is 1370828838961. The next prime is 1370828839007. The reversal of 1370828838976 is 6798388280731.

The square root of 1370828838976 is 1170824.

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 468289600 + 1370360549376 = 21640^2 + 1170624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 159227760 + ... + 159236368.

Almost surely, 2^{1370828838976} is an apocalyptic number.

1370828838976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1370828838976 is the 1170824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1370828838976

1370828838976 is an abundant number, since it is smaller than the sum of its proper divisors (1519171951623).

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

1370828838976 is an frugal number, since it uses more digits than its factorization.

1370828838976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17264 (or 8628 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 70.

The spelling of 1370828838976 in words is "one trillion, three hundred seventy billion, eight hundred twenty-eight million, eight hundred thirty-eight thousand, nine hundred seventy-six".