1396485792900 has 243 divisors, whose sum is σ = 4812654263599. Its totient is φ = 338447472000.

The previous prime is 1396485792833. The next prime is 1396485792917. The reversal of 1396485792900 is 92975846931.

The square root of 1396485792900 is 1181730.

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

1396485792900 is a `hidden beast` number, since 1 + 39 + 6 + 4 + 8 + 579 + 29 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128105294724 + 1268380498176 = 357918^2 + 1126224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 389969110 + ... + 389972690.

It is a 1-persistent number, because it is pandigital, but 2⋅1396485792900 = 2792971585800 is not.

Almost surely, 2^{1396485792900} is an apocalyptic number.

1396485792900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1396485792900 is the 1181730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1396485792900

1396485792900 is an abundant number, since it is smaller than the sum of its proper divisors (3416168470699).

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

1396485792900 is a wasteful number, since it uses less digits than its factorization.

1396485792900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7204 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1396485792900 in words is "one trillion, three hundred ninety-six billion, four hundred eighty-five million, seven hundred ninety-two thousand, nine hundred".