41406700608 has 448 divisors, whose sum is σ = 157715712000. Its totient is φ = 10344941568.

The previous prime is 41406700597. The next prime is 41406700609. The reversal of 41406700608 is 80600760414.

41406700608 is a `hidden beast` number, since 4 + 1 + 40 + 6 + 7 + 0 + 0 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (41406700609) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2980783 + ... + 2994641.

It is an arithmetic number, because the mean of its divisors is an integer number (352044000).

Almost surely, 2^41406700608 is an apocalyptic number.

41406700608 is a gapful number since it is divisible by the number (48) 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 41406700608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78857856000).

41406700608 is an abundant number, since it is smaller than the sum of its proper divisors (116309011392).

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

41406700608 is a wasteful number, since it uses less digits than its factorization.

41406700608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13919 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41406700608 in words is "forty-one billion, four hundred six million, seven hundred thousand, six hundred eight".