4014145440 has 72 divisors (see below), whose sum is σ = 13698276228. Its totient is φ = 1070438400.

The previous prime is 4014145439. The next prime is 4014145489. The reversal of 4014145440 is 445414104.

4014145440 is a `hidden beast` number, since 40 + 141 + 45 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3773399184 + 240746256 = 61428^2 + 15516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×4014145440² = 32226727226945587200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1392361 + ... + 1395240.

Almost surely, 2^4014145440 is an apocalyptic number.

4014145440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014145440 is an abundant number, since it is smaller than the sum of its proper divisors (9684130788).

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

4014145440 is a wasteful number, since it uses less digits than its factorization.

4014145440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787622 (or 2787611 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4014145440 is about 63357.2840326982. The cubic root of 4014145440 is about 1589.2700577322.

Adding to 4014145440 its reverse (445414104), we get a palindrome (4459559544).

The spelling of 4014145440 in words is "four billion, fourteen million, one hundred forty-five thousand, four hundred forty".