1416001314 has 72 divisors (see below), whose sum is σ = 3567402000. Its totient is φ = 373437792.

The previous prime is 1416001273. The next prime is 1416001333. The reversal of 1416001314 is 4131006141.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 35437 + ... + 63935.

It is an arithmetic number, because the mean of its divisors is an integer number (49547250).

Almost surely, 2^1416001314 is an apocalyptic number.

1416001314 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 1416001314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783701000).

1416001314 is an abundant number, since it is smaller than the sum of its proper divisors (2151400686).

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

1416001314 is a wasteful number, since it uses less digits than its factorization.

1416001314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28544 (or 28524 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1416001314 is about 37629.7929040275. The cubic root of 1416001314 is about 1122.9348289486.

Adding to 1416001314 its reverse (4131006141), we get a palindrome (5547007455).

The spelling of 1416001314 in words is "one billion, four hundred sixteen million, one thousand, three hundred fourteen".