1361630802240 has 336 divisors, whose sum is σ = 4726701392400. Its totient is φ = 359760199680.

The previous prime is 1361630802227. The next prime is 1361630802253. The reversal of 1361630802240 is 422080361631.

1361630802240 is a `hidden beast` number, since 1 + 3 + 616 + 30 + 8 + 0 + 2 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1361630802227) and next prime (1361630802253).

It can be written as a sum of positive squares in 8 ways, for example, as 541142669376 + 820488132864 = 735624^2 + 905808^2 .

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 = 1361630802195 and 1361630802204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180655752 + ... + 180663288.

Almost surely, 2^{1361630802240} is an apocalyptic number.

1361630802240 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 1361630802240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363350696200).

1361630802240 is an abundant number, since it is smaller than the sum of its proper divisors (3365070590160).

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

1361630802240 is a wasteful number, since it uses less digits than its factorization.

1361630802240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8130 (or 8117 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 1361630802240 in words is "one trillion, three hundred sixty-one billion, six hundred thirty million, eight hundred two thousand, two hundred forty".