7142057194140 has 768 divisors, whose sum is σ = 27230050713600. Its totient is φ = 1531585843200.

The previous prime is 7142057194133. The next prime is 7142057194193. The reversal of 7142057194140 is 414917502417.

7142057194140 is a `hidden beast` number, since 7 + 14 + 20 + 571 + 9 + 4 + 1 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 243650085 + ... + 243679395.

It is an arithmetic number, because the mean of its divisors is an integer number (35455795200).

Almost surely, 2^{7142057194140} 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 7142057194140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13615025356800).

7142057194140 is an abundant number, since it is smaller than the sum of its proper divisors (20087993519460).

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

7142057194140 is a wasteful number, since it uses less digits than its factorization.

7142057194140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29503 (or 29495 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 7142057194140 in words is "seven trillion, one hundred forty-two billion, fifty-seven million, one hundred ninety-four thousand, one hundred forty".