1361022481728 has 1680 divisors, whose sum is σ = 5389465065600. Its totient is φ = 330560372736.

The previous prime is 1361022481697. The next prime is 1361022481739. The reversal of 1361022481728 is 8271842201631.

1361022481728 is a `hidden beast` number, since 1 + 3 + 610 + 2 + 2 + 4 + 8 + 1 + 7 + 28 = 666.

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 239 ways as a sum of consecutive naturals, for example, 9134378998 + ... + 9134379146.

It is an arithmetic number, because the mean of its divisors is an integer number (3208014920).

Almost surely, 2^{1361022481728} is an apocalyptic number.

1361022481728 is a gapful number since it is divisible by the number (18) 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 1361022481728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2694732532800).

1361022481728 is an abundant number, since it is smaller than the sum of its proper divisors (4028442583872).

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

1361022481728 is a wasteful number, since it uses less digits than its factorization.

1361022481728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 1361022481728 in words is "one trillion, three hundred sixty-one billion, twenty-two million, four hundred eighty-one thousand, seven hundred twenty-eight".