1414289920 has 80 divisors (see below), whose sum is σ = 3421689480. Its totient is φ = 560594944.

The previous prime is 1414289879. The next prime is 1414289923. The reversal of 1414289920 is 299824141.

It can be written as a sum of positive squares in 4 ways, for example, as 845181184 + 569108736 = 29072^2 + 23856^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1414289923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286836 + ... + 291724.

Almost surely, 2^1414289920 is an apocalyptic number.

1414289920 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 1414289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1710844740).

1414289920 is an abundant number, since it is smaller than the sum of its proper divisors (2007399560).

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

1414289920 is an equidigital number, since it uses as much as digits as its factorization.

1414289920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5025 (or 5009 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 1414289920 is about 37607.0461482951. The cubic root of 1414289920 is about 1122.4822496420.

The spelling of 1414289920 in words is "one billion, four hundred fourteen million, two hundred eighty-nine thousand, nine hundred twenty".