1416310434 has 96 divisors (see below), whose sum is σ = 3967681536. Its totient is φ = 367863120.

The previous prime is 1416310433. The next prime is 1416310481. The reversal of 1416310434 is 4340136141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1416310398 and 1416310407.

It is not an unprimeable number, because it can be changed into a prime (1416310433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18499 + ... + 56345.

It is an arithmetic number, because the mean of its divisors is an integer number (41330016).

Almost surely, 2^1416310434 is an apocalyptic number.

1416310434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1416310434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983840768).

1416310434 is an abundant number, since it is smaller than the sum of its proper divisors (2551371102).

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

1416310434 is a wasteful number, since it uses less digits than its factorization.

1416310434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37882 (or 37870 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1416310434 is about 37633.9000636394. The cubic root of 1416310434 is about 1123.0165370549.

Adding to 1416310434 its reverse (4340136141), we get a palindrome (5756446575).

The spelling of 1416310434 in words is "one billion, four hundred sixteen million, three hundred ten thousand, four hundred thirty-four".