1144484640000 has 900 divisors, whose sum is σ = 4593152686276. Its totient is φ = 281677824000.

The previous prime is 1144484639993. The next prime is 1144484640001. The reversal of 1144484640000 is 464844411.

1144484640000 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 4 + 8 + 4 + 640 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 1137652625664 + 6832014336 = 1066608^2 + 82656^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144484640001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 168476604 + ... + 168483396.

Almost surely, 2^{1144484640000} is an apocalyptic number.

1144484640000 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 1144484640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296576343138).

1144484640000 is an abundant number, since it is smaller than the sum of its proper divisors (3448668046276).

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

1144484640000 is an frugal number, since it uses more digits than its factorization.

1144484640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6854 (or 6816 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 1144484640000 in words is "one trillion, one hundred forty-four billion, four hundred eighty-four million, six hundred forty thousand".