1361601024000 has 1248 divisors, whose sum is σ = 5360609779200. Its totient is φ = 305941708800.

The previous prime is 1361601023969. The next prime is 1361601024013. The reversal of 1361601024000 is 4201061631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5945855886 + ... + 5945856114.

It is an arithmetic number, because the mean of its divisors is an integer number (4295360400).

Almost surely, 2^{1361601024000} is an apocalyptic number.

1361601024000 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 1361601024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2680304889600).

1361601024000 is an abundant number, since it is smaller than the sum of its proper divisors (3999008755200).

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

1361601024000 is an equidigital number, since it uses as much as digits as its factorization.

1361601024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1361601024000 its reverse (4201061631), we get a palindrome (1365802085631).

The spelling of 1361601024000 in words is "one trillion, three hundred sixty-one billion, six hundred one million, twenty-four thousand".