1144215072000 has 4032 divisors, whose sum is σ = 5855108313600. Its totient is φ = 219469824000.

The previous prime is 1144215071981. The next prime is 1144215072017. The reversal of 1144215072000 is 2705124411.

1144215072000 is a `hidden beast` number, since 1 + 1 + 442 + 15 + 0 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 (13) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 88016543994 + ... + 88016544006.

It is an arithmetic number, because the mean of its divisors is an integer number (1452159800).

Almost surely, 2^{1144215072000} is an apocalyptic number.

1144215072000 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 1144215072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2927554156800).

1144215072000 is an abundant number, since it is smaller than the sum of its proper divisors (4710893241600).

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

1144215072000 is an frugal number, since it uses more digits than its factorization.

1144215072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 1144215072000 in words is "one trillion, one hundred forty-four billion, two hundred fifteen million, seventy-two thousand".