6405014418 has 128 divisors (see below), whose sum is σ = 15731988480. Its totient is φ = 1713208320.

The previous prime is 6405014417. The next prime is 6405014419. The reversal of 6405014418 is 8144105046.

It is an interprime number because it is at equal distance from previous prime (6405014417) and next prime (6405014419).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (6405014417) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2194296 + ... + 2197212.

It is an arithmetic number, because the mean of its divisors is an integer number (122906160).

Almost surely, 2^6405014418 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6405014418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865994240).

6405014418 is an abundant number, since it is smaller than the sum of its proper divisors (9326974062).

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

6405014418 is a wasteful number, since it uses less digits than its factorization.

6405014418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3072.

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 6405014418 is about 80031.3339761371. Note that the first 3 decimals coincide. The cubic root of 6405014418 is about 1857.1202999159.

The spelling of 6405014418 in words is "six billion, four hundred five million, fourteen thousand, four hundred eighteen".