1416127400 has 48 divisors (see below), whose sum is σ = 3306735900. Its totient is φ = 564001280.

The previous prime is 1416127369. The next prime is 1416127409. The reversal of 1416127400 is 47216141.

It can be written as a sum of positive squares in 6 ways, for example, as 433555684 + 982571716 = 20822^2 + 31346^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1416127400.

It is not an unprimeable number, because it can be changed into a prime (1416127409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31406 + ... + 61794.

Almost surely, 2^1416127400 is an apocalyptic number.

1416127400 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 1416127400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653367950).

1416127400 is an abundant number, since it is smaller than the sum of its proper divisors (1890608500).

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

1416127400 is a wasteful number, since it uses less digits than its factorization.

1416127400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30638 (or 30629 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1416127400 is about 37631.4682147800. The cubic root of 1416127400 is about 1122.9681580510.

The spelling of 1416127400 in words is "one billion, four hundred sixteen million, one hundred twenty-seven thousand, four hundred".