4467413412 has 360 divisors, whose sum is σ = 14938423808. Its totient is φ = 1139339520.

The previous prime is 4467413387. The next prime is 4467413413. The reversal of 4467413412 is 2143147644.

4467413412 is a `hidden beast` number, since 446 + 74 + 134 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4467413413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20033133 + ... + 20033355.

Almost surely, 2^4467413412 is an apocalyptic number.

4467413412 is a gapful number since it is divisible by the number (42) 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 4467413412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469211904).

4467413412 is an abundant number, since it is smaller than the sum of its proper divisors (10471010396).

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

4467413412 is a wasteful number, since it uses less digits than its factorization.

4467413412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 319 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4467413412 is about 66838.7119265475. The cubic root of 4467413412 is about 1646.9688349483.

The spelling of 4467413412 in words is "four billion, four hundred sixty-seven million, four hundred thirteen thousand, four hundred twelve".