1414421200 has 60 divisors (see below), whose sum is σ = 3490025260. Its totient is φ = 550471680.

The previous prime is 1414421189. The next prime is 1414421201. The reversal of 1414421200 is 21244141.

It can be written as a sum of positive squares in 6 ways, for example, as 106007616 + 1308413584 = 10296^2 + 36172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414421201) 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, 32985 + ... + 62584.

Almost surely, 2^1414421200 is an apocalyptic number.

1414421200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414421200 is an abundant number, since it is smaller than the sum of its proper divisors (2075604060).

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

1414421200 is a wasteful number, since it uses less digits than its factorization.

1414421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95624 (or 95613 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1414421200 is about 37608.7915253867. The cubic root of 1414421200 is about 1122.5169796523.

Adding to 1414421200 its reverse (21244141), we get a palindrome (1435665341).

It can be divided in two parts, 14144 and 21200, that added together give a square (35344 = 188²).

The spelling of 1414421200 in words is "one billion, four hundred fourteen million, four hundred twenty-one thousand, two hundred".