6417466440 has 256 divisors, whose sum is σ = 25047429120. Its totient is φ = 1275479040.

The previous prime is 6417466439. The next prime is 6417466441. The reversal of 6417466440 is 446647146.

It is an interprime number because it is at equal distance from previous prime (6417466439) and next prime (6417466441).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6417466392 and 6417466401.

It is not an unprimeable number, because it can be changed into a prime (6417466441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197422 + ... + 227618.

It is an arithmetic number, because the mean of its divisors is an integer number (97841520).

Almost surely, 2^6417466440 is an apocalyptic number.

6417466440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6417466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12523714560).

6417466440 is an abundant number, since it is smaller than the sum of its proper divisors (18629962680).

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

6417466440 is a wasteful number, since it uses less digits than its factorization.

6417466440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30252 (or 30248 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 6417466440 is about 80109.0908698882. The cubic root of 6417466440 is about 1858.3229999537.

The spelling of 6417466440 in words is "six billion, four hundred seventeen million, four hundred sixty-six thousand, four hundred forty".