7142129280 has 1152 divisors, whose sum is σ = 31448476800. Its totient is φ = 1476034560.

The previous prime is 7142129261. The next prime is 7142129287. The reversal of 7142129280 is 829212417.

7142129280 is a `hidden beast` number, since 71 + 421 + 2 + 92 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7142129287) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 246280306 + ... + 246280334.

It is an arithmetic number, because the mean of its divisors is an integer number (27299025).

Almost surely, 2^7142129280 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 7142129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15724238400).

7142129280 is an abundant number, since it is smaller than the sum of its proper divisors (24306347520).

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

7142129280 is a wasteful number, since it uses less digits than its factorization.

7142129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7142129280 is about 84511.1192684134. The cubic root of 7142129280 is about 1925.7913678830.

The spelling of 7142129280 in words is "seven billion, one hundred forty-two million, one hundred twenty-nine thousand, two hundred eighty".