41672030400 has 2016 divisors, whose sum is σ = 206361792000. Its totient is φ = 7857561600.

The previous prime is 41672030377. The next prime is 41672030471. The reversal of 41672030400 is 403027614.

41672030400 is a `hidden beast` number, since 416 + 7 + 203 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 706305571 + ... + 706305629.

It is an arithmetic number, because the mean of its divisors is an integer number (102362000).

Almost surely, 2^41672030400 is an apocalyptic number.

41672030400 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 41672030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103180896000).

41672030400 is an abundant number, since it is smaller than the sum of its proper divisors (164689761600).

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

41672030400 is a wasteful number, since it uses less digits than its factorization.

41672030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 41672030400 in words is "forty-one billion, six hundred seventy-two million, thirty thousand, four hundred".