1414075320 has 288 divisors, whose sum is σ = 5545940400. Its totient is φ = 323108352.

The previous prime is 1414075319. The next prime is 1414075331. The reversal of 1414075320 is 235704141.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 474796 + ... + 477764.

Almost surely, 2^1414075320 is an apocalyptic number.

1414075320 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 1414075320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772970200).

1414075320 is an abundant number, since it is smaller than the sum of its proper divisors (4131865080).

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

1414075320 is a wasteful number, since it uses less digits than its factorization.

1414075320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3009 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1414075320 is about 37604.1928513298. The cubic root of 1414075320 is about 1122.4254727695.

Adding to 1414075320 its reverse (235704141), we get a palindrome (1649779461).

The spelling of 1414075320 in words is "one billion, four hundred fourteen million, seventy-five thousand, three hundred twenty".