7142204160 has 720 divisors, whose sum is σ = 31495227456. Its totient is φ = 1504935936.

The previous prime is 7142204159. The next prime is 7142204213. The reversal of 7142204160 is 614022417.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×7142204160² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9434502 + ... + 9435258.

Almost surely, 2^7142204160 is an apocalyptic number.

7142204160 is a gapful number since it is divisible by the number (70) 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 7142204160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15747613728).

7142204160 is an abundant number, since it is smaller than the sum of its proper divisors (24353023296).

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

7142204160 is a wasteful number, since it uses less digits than its factorization.

7142204160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7142204160 is about 84511.5622858790. The cubic root of 7142204160 is about 1925.7980980307.

Adding to 7142204160 its reverse (614022417), we get a palindrome (7756226577).

The spelling of 7142204160 in words is "seven billion, one hundred forty-two million, two hundred four thousand, one hundred sixty".