41656400 has 60 divisors (see below), whose sum is σ = 100743552. Its totient is φ = 16552320.

The previous prime is 41656399. The next prime is 41656403. The reversal of 41656400 is 465614.

It is a happy number.

It is a super-4 number, since 4×41656400⁴ (a number of 32 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 41656400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41656403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88967 + ... + 89433.

Almost surely, 2^41656400 is an apocalyptic number.

41656400 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 41656400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50371776).

41656400 is an abundant number, since it is smaller than the sum of its proper divisors (59087152).

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

41656400 is a wasteful number, since it uses less digits than its factorization.

41656400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 41656400 is about 6454.1769421050. The cubic root of 41656400 is about 346.6521608000.

The spelling of 41656400 in words is "forty-one million, six hundred fifty-six thousand, four hundred".