7142400000 has 504 divisors, whose sum is σ = 26620671168. Its totient is φ = 1843200000.

The previous prime is 7142399989. The next prime is 7142400017. The reversal of 7142400000 is 42417.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 230399985 + ... + 230400015.

It is an arithmetic number, because the mean of its divisors is an integer number (52818792).

Almost surely, 2^7142400000 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 7142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13310335584).

7142400000 is an abundant number, since it is smaller than the sum of its proper divisors (19478271168).

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

7142400000 is an frugal number, since it uses more digits than its factorization.

7142400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 7142400000 is about 84512.7209359632. The cubic root of 7142400000 is about 1925.8156997329.

Adding to 7142400000 its reverse (42417), we get a palindrome (7142442417).

The spelling of 7142400000 in words is "seven billion, one hundred forty-two million, four hundred thousand".