1418229540 has 768 divisors, whose sum is σ = 6021120000. Its totient is φ = 274337280.

The previous prime is 1418229529. The next prime is 1418229541. The reversal of 1418229540 is 459228141.

1418229540 is a `hidden beast` number, since 14 + 1 + 82 + 29 + 540 = 666.

It is a super-2 number, since 2×1418229540² = 4022750056257223200, 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 = 1418229495 and 1418229504.

It is not an unprimeable number, because it can be changed into a prime (1418229541) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 45749325 + ... + 45749355.

It is an arithmetic number, because the mean of its divisors is an integer number (7840000).

Almost surely, 2^1418229540 is an apocalyptic number.

1418229540 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 1418229540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010560000).

1418229540 is an abundant number, since it is smaller than the sum of its proper divisors (4602890460).

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

1418229540 is a wasteful number, since it uses less digits than its factorization.

1418229540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1418229540 is about 37659.3884708714. The cubic root of 1418229540 is about 1123.5235386806.

The spelling of 1418229540 in words is "one billion, four hundred eighteen million, two hundred twenty-nine thousand, five hundred forty".