1042144624224 has 288 divisors, whose sum is σ = 3275288400384. Its totient is φ = 311680189440.

The previous prime is 1042144624193. The next prime is 1042144624231. The reversal of 1042144624224 is 4224264412401.

1042144624224 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 4 + 4 + 624 + 2 + 24 = 666.

1042144624224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 455680809 + ... + 455683095.

It is an arithmetic number, because the mean of its divisors is an integer number (11372529168).

Almost surely, 2^{1042144624224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042144624224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637644200192).

1042144624224 is an abundant number, since it is smaller than the sum of its proper divisors (2233143776160).

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

1042144624224 is a wasteful number, since it uses less digits than its factorization.

1042144624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 1042144624224 in words is "one trillion, forty-two billion, one hundred forty-four million, six hundred twenty-four thousand, two hundred twenty-four".