1414418880 has 224 divisors, whose sum is σ = 5182087680. Its totient is φ = 320163840.

The previous prime is 1414418857. The next prime is 1414418891. The reversal of 1414418880 is 888144141.

It is a tau number, because it is divible by the number of its divisors (224).

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, 731515 + ... + 733445.

It is an arithmetic number, because the mean of its divisors is an integer number (23134320).

Almost surely, 2^1414418880 is an apocalyptic number.

1414418880 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 1414418880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591043840).

1414418880 is an abundant number, since it is smaller than the sum of its proper divisors (3767668800).

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

1414418880 is a wasteful number, since it uses less digits than its factorization.

1414418880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 1414418880 is about 37608.7606815221. The cubic root of 1414418880 is about 1122.5163659170.

The spelling of 1414418880 in words is "one billion, four hundred fourteen million, four hundred eighteen thousand, eight hundred eighty".