40041600 has 192 divisors, whose sum is σ = 136345440. Its totient is φ = 10321920.

The previous prime is 40041593. The next prime is 40041637. The reversal of 40041600 is 614004.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 40041600.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 412752 + ... + 412848.

Almost surely, 2^40041600 is an apocalyptic number.

40041600 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 40041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68172720).

40041600 is an abundant number, since it is smaller than the sum of its proper divisors (96303840).

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

40041600 is a wasteful number, since it uses less digits than its factorization.

40041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 40041600 is about 6327.8432344678. The cubic root of 40041600 is about 342.1137065912.

Adding to 40041600 its reverse (614004), we get a palindrome (40655604).

The spelling of 40041600 in words is "forty million, forty-one thousand, six hundred".