1363990410000 has 675 divisors, whose sum is σ = 5089393365771. Its totient is φ = 340839936000.

The previous prime is 1363990409921. The next prime is 1363990410037. The reversal of 1363990410000 is 140993631.

The square root of 1363990410000 is 1167900.

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

1363990410000 is a `hidden beast` number, since 1 + 3 + 639 + 9 + 0 + 4 + 10 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 1013090562576 + 350899847424 = 1006524^2 + 592368^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 5956289886 + ... + 5956290114.

Almost surely, 2^{1363990410000} is an apocalyptic number.

1363990410000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1363990410000 is the 1167900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363990410000

1363990410000 is an abundant number, since it is smaller than the sum of its proper divisors (3725402955771).

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

1363990410000 is an equidigital number, since it uses as much as digits as its factorization.

1363990410000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

Multiplying 1363990410000 by its sum of digits (36), we get a square (49103654760000 = 7007400²).

1363990410000 divided by its sum of digits (36) gives a square (37888622500 = 194650²).

The spelling of 1363990410000 in words is "one trillion, three hundred sixty-three billion, nine hundred ninety million, four hundred ten thousand".