41467667472 has 1200 divisors, whose sum is σ = 166256323200. Its totient is φ = 9835499520.

The previous prime is 41467667467. The next prime is 41467667531. The reversal of 41467667472 is 27476676414.

41467667472 is a `hidden beast` number, since 4 + 1 + 46 + 76 + 67 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 465928804 + ... + 465928892.

It is an arithmetic number, because the mean of its divisors is an integer number (138546936).

Almost surely, 2^41467667472 is an apocalyptic number.

41467667472 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 41467667472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83128161600).

41467667472 is an abundant number, since it is smaller than the sum of its proper divisors (124788655728).

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

41467667472 is a wasteful number, since it uses less digits than its factorization.

41467667472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its digits is 9483264, while the sum is 54.

The spelling of 41467667472 in words is "forty-one billion, four hundred sixty-seven million, six hundred sixty-seven thousand, four hundred seventy-two".