6145111440 has 160 divisors (see below), whose sum is σ = 22794791040. Its totient is φ = 1512635904.

The previous prime is 6145111439. The next prime is 6145111451. The reversal of 6145111440 is 441115416.

6145111440 is a `hidden beast` number, since 6 + 1 + 4 + 511 + 144 + 0 = 666.

It is a super-2 number, since 2×6145111440² = 75524789220037747200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81342 + ... + 137501.

It is an arithmetic number, because the mean of its divisors is an integer number (142467444).

Almost surely, 2^6145111440 is an apocalyptic number.

6145111440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6145111440 is an abundant number, since it is smaller than the sum of its proper divisors (16649679600).

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

6145111440 is a wasteful number, since it uses less digits than its factorization.

6145111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218878 (or 218866 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6145111440 is about 78390.7611903342. The cubic root of 6145111440 is about 1831.6532225027.

Adding to 6145111440 its reverse (441115416), we get a palindrome (6586226856).

The spelling of 6145111440 in words is "six billion, one hundred forty-five million, one hundred eleven thousand, four hundred forty".