1414111936 has 112 divisors (see below), whose sum is σ = 3057753600. Its totient is φ = 646714368.

The previous prime is 1414111927. The next prime is 1414111939. The reversal of 1414111936 is 6391114141.

It is a junction number, because it is equal to n+sod(n) for n = 1414111898 and 1414111907.

It is not an unprimeable number, because it can be changed into a prime (1414111939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6229455 + ... + 6229681.

Almost surely, 2^1414111936 is an apocalyptic number.

1414111936 is a gapful number since it is divisible by the number (16) 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 1414111936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528876800).

1414111936 is an abundant number, since it is smaller than the sum of its proper divisors (1643641664).

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

1414111936 is a wasteful number, since it uses less digits than its factorization.

1414111936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 404 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 1414111936 is about 37604.6797087809. The cubic root of 1414111936 is about 1122.4351606967.

The spelling of 1414111936 in words is "one billion, four hundred fourteen million, one hundred eleven thousand, nine hundred thirty-six".