6012029440 has 160 divisors (see below), whose sum is σ = 15237953280. Its totient is φ = 2271166464.

The previous prime is 6012029431. The next prime is 6012029479. The reversal of 6012029440 is 449202106.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×6012029440² = 72288995974853427200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6012029399 and 6012029408.

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 15 ways as a sum of consecutive naturals, for example, 3488419 + ... + 3490141.

It is an arithmetic number, because the mean of its divisors is an integer number (95237208).

Almost surely, 2^6012029440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6012029440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618976640).

6012029440 is an abundant number, since it is smaller than the sum of its proper divisors (9225923840).

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

6012029440 is a wasteful number, since it uses less digits than its factorization.

6012029440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1822 (or 1806 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 6012029440 is about 77537.2777443212. The cubic root of 6012029440 is about 1818.3341678885.

The spelling of 6012029440 in words is "six billion, twelve million, twenty-nine thousand, four hundred forty".