7142090800 has 120 divisors (see below), whose sum is σ = 18511627680. Its totient is φ = 2632396800.

The previous prime is 7142090783. The next prime is 7142090803. The reversal of 7142090800 is 80902417.

It is not an unprimeable number, because it can be changed into a prime (7142090803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4580421 + ... + 4581979.

It is an arithmetic number, because the mean of its divisors is an integer number (154263564).

Almost surely, 2^7142090800 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 7142090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255813840).

7142090800 is an abundant number, since it is smaller than the sum of its proper divisors (11369536880).

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

7142090800 is a wasteful number, since it uses less digits than its factorization.

7142090800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2460 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 7142090800 is about 84510.8916057569. The cubic root of 7142090800 is about 1925.7879093167.

The spelling of 7142090800 in words is "seven billion, one hundred forty-two million, ninety thousand, eight hundred".