1414183680 has 864 divisors, whose sum is σ = 6428298240. Its totient is φ = 278691840.

The previous prime is 1414183669. The next prime is 1414183691. The reversal of 1414183680 is 863814141.

It is a happy number.

1414183680 is a `hidden beast` number, since 1 + 414 + 183 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1414183669) and next prime (1414183691).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19918045 + ... + 19918115.

It is an arithmetic number, because the mean of its divisors is an integer number (7440160).

Almost surely, 2^1414183680 is an apocalyptic number.

1414183680 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 1414183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214149120).

1414183680 is an abundant number, since it is smaller than the sum of its proper divisors (5014114560).

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

1414183680 is a wasteful number, since it uses less digits than its factorization.

1414183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1414183680 is about 37605.6336205096. The cubic root of 1414183680 is about 1122.4541423686.

The spelling of 1414183680 in words is "one billion, four hundred fourteen million, one hundred eighty-three thousand, six hundred eighty".