41605401600 has 528 divisors, whose sum is σ = 174633664000. Its totient is φ = 9508700160.

The previous prime is 41605401589. The next prime is 41605401619. The reversal of 41605401600 is 610450614.

41605401600 is a `hidden beast` number, since 4 + 1 + 6 + 0 + 54 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4834101 + ... + 4842699.

Almost surely, 2^41605401600 is an apocalyptic number.

41605401600 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 41605401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87316832000).

41605401600 is an abundant number, since it is smaller than the sum of its proper divisors (133028262400).

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

41605401600 is a wasteful number, since it uses less digits than its factorization.

41605401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8616 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 41605401600 in words is "forty-one billion, six hundred five million, four hundred one thousand, six hundred".