7042144665600 has 1680 divisors, whose sum is σ = 28991555247600. Its totient is φ = 1681706188800.

The previous prime is 7042144665593. The next prime is 7042144665649. The reversal of 7042144665600 is 65664412407.

7042144665600 is a `hidden beast` number, since 7 + 0 + 4 + 21 + 4 + 4 + 66 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 105106636767 + ... + 105106636833.

Almost surely, 2^{7042144665600} 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 7042144665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14495777623800).

7042144665600 is an abundant number, since it is smaller than the sum of its proper divisors (21949410582000).

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

7042144665600 is an frugal number, since it uses more digits than its factorization.

7042144665600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 7042144665600 in words is "seven trillion, forty-two billion, one hundred forty-four million, six hundred sixty-five thousand, six hundred".