1414765440 has 384 divisors, whose sum is σ = 5533557120. Its totient is φ = 342558720.

The previous prime is 1414765423. The next prime is 1414765453. The reversal of 1414765440 is 445674141.

It is a happy number.

1414765440 is a `hidden beast` number, since 1 + 41 + 4 + 76 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1414765440² = 4003122500436787200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1414765395 and 1414765404.

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 47 ways as a sum of consecutive naturals, for example, 1710307 + ... + 1711133.

It is an arithmetic number, because the mean of its divisors is an integer number (14410305).

Almost surely, 2^1414765440 is an apocalyptic number.

1414765440 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 1414765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2766778560).

1414765440 is an abundant number, since it is smaller than the sum of its proper divisors (4118791680).

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

1414765440 is an equidigital number, since it uses as much as digits as its factorization.

1414765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1414765440 is about 37613.3678364488. The cubic root of 1414765440 is about 1122.6080378418.

The spelling of 1414765440 in words is "one billion, four hundred fourteen million, seven hundred sixty-five thousand, four hundred forty".