1418466672 has 480 divisors, whose sum is σ = 5181096960. Its totient is φ = 352788480.

The previous prime is 1418466667. The next prime is 1418466713. The reversal of 1418466672 is 2766648141.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23253522 + ... + 23253582.

It is an arithmetic number, because the mean of its divisors is an integer number (10793952).

Almost surely, 2^1418466672 is an apocalyptic number.

1418466672 is a gapful number since it is divisible by the number (12) 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 1418466672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590548480).

1418466672 is an abundant number, since it is smaller than the sum of its proper divisors (3762630288).

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

1418466672 is a wasteful number, since it uses less digits than its factorization.

1418466672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1418466672 is about 37662.5367175394. The cubic root of 1418466672 is about 1123.5861539646.

The spelling of 1418466672 in words is "one billion, four hundred eighteen million, four hundred sixty-six thousand, six hundred seventy-two".