1080045144000 has 448 divisors, whose sum is σ = 4099229596800. Its totient is φ = 278078976000.

The previous prime is 1080045143999. The next prime is 1080045144019. The reversal of 1080045144000 is 4415400801.

It is a happy number.

1080045144000 is a `hidden beast` number, since 108 + 0 + 0 + 4 + 514 + 40 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6177790 + ... + 6350210.

Almost surely, 2^{1080045144000} is an apocalyptic number.

1080045144000 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 1080045144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2049614798400).

1080045144000 is an abundant number, since it is smaller than the sum of its proper divisors (3019184452800).

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

1080045144000 is a wasteful number, since it uses less digits than its factorization.

1080045144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172486 (or 172460 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 1080045144000 in words is "one trillion, eighty billion, forty-five million, one hundred forty-four thousand".