1361448000 has 560 divisors, whose sum is σ = 5523268608. Its totient is φ = 328320000.

The previous prime is 1361447977. The next prime is 1361448019. The reversal of 1361448000 is 8441631.

1361448000 is a `hidden beast` number, since 1 + 3 + 614 + 48 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7127905 + ... + 7128095.

Almost surely, 2^1361448000 is an apocalyptic number.

1361448000 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 1361448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761634304).

1361448000 is an abundant number, since it is smaller than the sum of its proper divisors (4161820608).

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

1361448000 is a wasteful number, since it uses less digits than its factorization.

1361448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1361448000 is about 36897.8048127527. The cubic root of 1361448000 is about 1108.3247189989.

Adding to 1361448000 its reverse (8441631), we get a palindrome (1369889631).

The spelling of 1361448000 in words is "one billion, three hundred sixty-one million, four hundred forty-eight thousand".