7140600400 has 240 divisors, whose sum is σ = 18510243840. Its totient is φ = 2641766400.

The previous prime is 7140600361. The next prime is 7140600421. The reversal of 7140600400 is 40060417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54508335 + ... + 54508465.

It is an arithmetic number, because the mean of its divisors is an integer number (77126016).

Almost surely, 2^7140600400 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 7140600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255121920).

7140600400 is an abundant number, since it is smaller than the sum of its proper divisors (11369643440).

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

7140600400 is a wasteful number, since it uses less digits than its factorization.

7140600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 7140600400 is about 84502.0733473446. The cubic root of 7140600400 is about 1925.6539432250.

Adding to 7140600400 its reverse (40060417), we get a palindrome (7180660817).

The spelling of 7140600400 in words is "seven billion, one hundred forty million, six hundred thousand, four hundred".