1359670118400 has 1728 divisors, whose sum is σ = 5817452659200. Its totient is φ = 299630592000.

The previous prime is 1359670118399. The next prime is 1359670118423. The reversal of 1359670118400 is 48110769531.

1359670118400 is a `hidden beast` number, since 1 + 3 + 596 + 7 + 0 + 1 + 18 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2671257346 + ... + 2671257854.

It is an arithmetic number, because the mean of its divisors is an integer number (3366581400).

Almost surely, 2^{1359670118400} is an apocalyptic number.

1359670118400 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 1359670118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908726329600).

1359670118400 is an abundant number, since it is smaller than the sum of its proper divisors (4457782540800).

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

1359670118400 is a wasteful number, since it uses less digits than its factorization.

1359670118400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1359670118400 in words is "one trillion, three hundred fifty-nine billion, six hundred seventy million, one hundred eighteen thousand, four hundred".