1144415455200 has 288 divisors, whose sum is σ = 4175606181600. Its totient is φ = 302476124160.

The previous prime is 1144415455199. The next prime is 1144415455217. The reversal of 1144415455200 is 25545144411.

1144415455200 is a `hidden beast` number, since 1 + 1 + 4 + 441 + 5 + 4 + 5 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1144415455200³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2206366 + ... + 2675234.

It is an arithmetic number, because the mean of its divisors is an integer number (14498632575).

Almost surely, 2^{1144415455200} is an apocalyptic number.

1144415455200 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 1144415455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2087803090800).

1144415455200 is an abundant number, since it is smaller than the sum of its proper divisors (3031190726400).

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

1144415455200 is a wasteful number, since it uses less digits than its factorization.

1144415455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469011 (or 468992 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 1144415455200 in words is "one trillion, one hundred forty-four billion, four hundred fifteen million, four hundred fifty-five thousand, two hundred".