6145042405416 has 128 divisors (see below), whose sum is σ = 15605830656000. Its totient is φ = 2016089217792.

The previous prime is 6145042405297. The next prime is 6145042405423.

It is a happy number.

6145042405416 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6145042405416² (a number of 26 digits) contains 22 as substring.

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, 1088193105 + ... + 1088198751.

It is an arithmetic number, because the mean of its divisors is an integer number (121920552000).

Almost surely, 2^{6145042405416} is an apocalyptic number.

It is an amenable number.

6145042405416 is an abundant number, since it is smaller than the sum of its proper divisors (9460788250584).

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

6145042405416 is a wasteful number, since it uses less digits than its factorization.

6145042405416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7431 (or 7427 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 6145042405416 in words is "six trillion, one hundred forty-five billion, forty-two million, four hundred five thousand, four hundred sixteen".