41778408672 has 576 divisors, whose sum is σ = 160372832256. Its totient is φ = 9963233280.

The previous prime is 41778408641. The next prime is 41778408733. The reversal of 41778408672 is 27680487714.

41778408672 is a `hidden beast` number, since 4 + 177 + 8 + 408 + 67 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90233913 + ... + 90234375.

It is an arithmetic number, because the mean of its divisors is an integer number (278425056).

Almost surely, 2^41778408672 is an apocalyptic number.

41778408672 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 41778408672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80186416128).

41778408672 is an abundant number, since it is smaller than the sum of its proper divisors (118594423584).

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

41778408672 is a wasteful number, since it uses less digits than its factorization.

41778408672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 4214784, while the sum is 54.

The spelling of 41778408672 in words is "forty-one billion, seven hundred seventy-eight million, four hundred eight thousand, six hundred seventy-two".