1363369140 has 216 divisors, whose sum is σ = 4835611872. Its totient is φ = 310020480.

The previous prime is 1363369121. The next prime is 1363369151. The reversal of 1363369140 is 419633631.

1363369140 is a `hidden beast` number, since 1 + 3 + 633 + 6 + 9 + 14 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1363369095 and 1363369104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2919187 + ... + 2919653.

It is an arithmetic number, because the mean of its divisors is an integer number (22387092).

Almost surely, 2^1363369140 is an apocalyptic number.

1363369140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1363369140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417805936).

1363369140 is an abundant number, since it is smaller than the sum of its proper divisors (3472242732).

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

1363369140 is a wasteful number, since it uses less digits than its factorization.

1363369140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 1363369140 is about 36923.8288913812. The cubic root of 1363369140 is about 1108.8457931807.

The spelling of 1363369140 in words is "one billion, three hundred sixty-three million, three hundred sixty-nine thousand, one hundred forty".