1361172638800 has 240 divisors, whose sum is σ = 3826722296320. Its totient is φ = 460774656000.

The previous prime is 1361172638741. The next prime is 1361172638827. The reversal of 1361172638800 is 88362711631.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2840590 + ... + 3285010.

Almost surely, 2^{1361172638800} is an apocalyptic number.

1361172638800 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 1361172638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1913361148160).

1361172638800 is an abundant number, since it is smaller than the sum of its proper divisors (2465549657520).

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

1361172638800 is a wasteful number, since it uses less digits than its factorization.

1361172638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444502 (or 444491 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 1361172638800 in words is "one trillion, three hundred sixty-one billion, one hundred seventy-two million, six hundred thirty-eight thousand, eight hundred".