1414401220 has 48 divisors (see below), whose sum is σ = 3057023088. Its totient is φ = 549296640.

The previous prime is 1414401203. The next prime is 1414401223. The reversal of 1414401220 is 221044141.

It can be written as a sum of positive squares in 8 ways, for example, as 105842944 + 1308558276 = 10288^2 + 36174^2 .

It is a super-2 number, since 2×1414401220² = 4001061622274976800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1414401223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 398574 + ... + 402106.

It is an arithmetic number, because the mean of its divisors is an integer number (63687981).

Almost surely, 2^1414401220 is an apocalyptic number.

1414401220 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 1414401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528511544).

1414401220 is an abundant number, since it is smaller than the sum of its proper divisors (1642621868).

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

1414401220 is a wasteful number, since it uses less digits than its factorization.

1414401220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4120 (or 4118 counting only the distinct ones).

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

The square root of 1414401220 is about 37608.5258950680. The cubic root of 1414401220 is about 1122.5116940993.

Adding to 1414401220 its reverse (221044141), we get a palindrome (1635445361).

The spelling of 1414401220 in words is "one billion, four hundred fourteen million, four hundred one thousand, two hundred twenty".