1400314400 has 72 divisors (see below), whose sum is σ = 3440600100. Its totient is φ = 556508160.

The previous prime is 1400314379. The next prime is 1400314403. The reversal of 1400314400 is 44130041.

It can be written as a sum of positive squares in 6 ways, for example, as 250019344 + 1150295056 = 15812^2 + 33916^2 .

It is not an unprimeable number, because it can be changed into a prime (1400314403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120026 + ... + 131174.

Almost surely, 2^1400314400 is an apocalyptic number.

1400314400 is a gapful number since it is divisible by the number (10) 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 1400314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720300050).

1400314400 is an abundant number, since it is smaller than the sum of its proper divisors (2040285700).

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

1400314400 is a wasteful number, since it uses less digits than its factorization.

1400314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11326 (or 11313 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1400314400 is about 37420.7749786132. The cubic root of 1400314400 is about 1118.7726776715.

Adding to 1400314400 its reverse (44130041), we get a palindrome (1444444441).

The spelling of 1400314400 in words is "one billion, four hundred million, three hundred fourteen thousand, four hundred".