1414143360 has 448 divisors, whose sum is σ = 5806190880. Its totient is φ = 322486272.

The previous prime is 1414143307. The next prime is 1414143377. The reversal of 1414143360 is 633414141.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3265704 + ... + 3266136.

Almost surely, 2^1414143360 is an apocalyptic number.

1414143360 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 1414143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2903095440).

1414143360 is an abundant number, since it is smaller than the sum of its proper divisors (4392047520).

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

1414143360 is an frugal number, since it uses more digits than its factorization.

1414143360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 450 counting only the distinct ones).

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

The square root of 1414143360 is about 37605.0975267981. The cubic root of 1414143360 is about 1122.4434747819.

The spelling of 1414143360 in words is "one billion, four hundred fourteen million, one hundred forty-three thousand, three hundred sixty".