140115462400 has 81 divisors (see below), whose sum is σ = 346881798361. Its totient is φ = 56034206720.

The previous prime is 140115462371. The next prime is 140115462433. The reversal of 140115462400 is 4264511041.

The square root of 140115462400 is 374320.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50441566464 + 89673895936 = 224592^2 + 299456^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29943261 + ... + 29947939.

Almost surely, 2^140115462400 is an apocalyptic number.

140115462400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140115462400 is the 374320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140115462400

140115462400 is an abundant number, since it is smaller than the sum of its proper divisors (206766335961).

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

140115462400 is an frugal number, since it uses more digits than its factorization.

140115462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9384 (or 4686 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 140115462400 its reverse (4264511041), we get a palindrome (144379973441).

The spelling of 140115462400 in words is "one hundred forty billion, one hundred fifteen million, four hundred sixty-two thousand, four hundred".