7142294880 has 864 divisors, whose sum is σ = 30869040384. Its totient is φ = 1551965184.

The previous prime is 7142294867. The next prime is 7142294897. The reversal of 7142294880 is 884922417.

7142294880 is a `hidden beast` number, since 7 + 142 + 29 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43817679 + ... + 43817841.

It is an arithmetic number, because the mean of its divisors is an integer number (35728056).

Almost surely, 2^7142294880 is an apocalyptic number.

7142294880 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 7142294880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434520192).

7142294880 is an abundant number, since it is smaller than the sum of its proper divisors (23726745504).

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

7142294880 is a wasteful number, since it uses less digits than its factorization.

7142294880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 7142294880 is about 84512.0990154664. The cubic root of 7142294880 is about 1925.8062518004.

The spelling of 7142294880 in words is "seven billion, one hundred forty-two million, two hundred ninety-four thousand, eight hundred eighty".