1414120020 has 96 divisors (see below), whose sum is σ = 4153379328. Its totient is φ = 359073792.

The previous prime is 1414120013. The next prime is 1414120031. The reversal of 1414120020 is 200214141.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97564 + ... + 111116.

It is an arithmetic number, because the mean of its divisors is an integer number (43264368).

Almost surely, 2^1414120020 is an apocalyptic number.

1414120020 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 1414120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076689664).

1414120020 is an abundant number, since it is smaller than the sum of its proper divisors (2739259308).

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

1414120020 is a wasteful number, since it uses less digits than its factorization.

1414120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13649 (or 13647 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1414120020 is about 37604.7871952495. The cubic root of 1414120020 is about 1122.4372995535.

Adding to 1414120020 its reverse (200214141), we get a palindrome (1614334161).

The spelling of 1414120020 in words is "one billion, four hundred fourteen million, one hundred twenty thousand, twenty".