1414303416630 has 144 divisors (see below), whose sum is σ = 4002663465216. Its totient is φ = 346312811520.

The previous prime is 1414303416619. The next prime is 1414303416649. The reversal of 1414303416630 is 366143034141.

1414303416630 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 3 + 0 + 3 + 4 + 16 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2661694 + ... + 3148526.

It is an arithmetic number, because the mean of its divisors is an integer number (27796274064).

Almost surely, 2^{1414303416630} is an apocalyptic number.

1414303416630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414303416630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2001331732608).

1414303416630 is an abundant number, since it is smaller than the sum of its proper divisors (2588360048586).

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

1414303416630 is a wasteful number, since it uses less digits than its factorization.

1414303416630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487063 (or 487047 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1414303416630 in words is "one trillion, four hundred fourteen billion, three hundred three million, four hundred sixteen thousand, six hundred thirty".