40667467680 has 432 divisors, whose sum is σ = 162210353760. Its totient is φ = 9250827264.

The previous prime is 40667467663. The next prime is 40667467681. The reversal of 40667467680 is 8676476604.

It is a happy number.

40667467680 is a `hidden beast` number, since 40 + 6 + 67 + 467 + 6 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (40667467681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16015851 + ... + 16018389.

It is an arithmetic number, because the mean of its divisors is an integer number (375486930).

Almost surely, 2^40667467680 is an apocalyptic number.

40667467680 is a gapful number since it is divisible by the number (40) 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 40667467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81105176880).

40667467680 is an abundant number, since it is smaller than the sum of its proper divisors (121542886080).

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

40667467680 is a wasteful number, since it uses less digits than its factorization.

40667467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2801 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 40667467680 in words is "forty billion, six hundred sixty-seven million, four hundred sixty-seven thousand, six hundred eighty".