41672857962240 has 864 divisors, whose sum is σ = 150587753412096. Its totient is φ = 10631876935680.

The previous prime is 41672857962223. The next prime is 41672857962277. The reversal of 41672857962240 is 4226975827614.

41672857962240 is a `hidden beast` number, since 4 + 1 + 67 + 285 + 79 + 6 + 224 + 0 = 666.

41672857962240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5521774147 + ... + 5521781693.

It is an arithmetic number, because the mean of its divisors is an integer number (174291381264).

Almost surely, 2^{41672857962240} is an apocalyptic number.

41672857962240 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 41672857962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75293876706048).

41672857962240 is an abundant number, since it is smaller than the sum of its proper divisors (108914895449856).

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

41672857962240 is a wasteful number, since it uses less digits than its factorization.

41672857962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845 (or 7828 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 41672857962240 in words is "forty-one trillion, six hundred seventy-two billion, eight hundred fifty-seven million, nine hundred sixty-two thousand, two hundred forty".