40985600 has 66 divisors (see below), whose sum is σ = 101658114. Its totient is φ = 16384000.

The previous prime is 40985599. The next prime is 40985611. The reversal of 40985600 is 658904.

It can be written as a sum of positive squares in 3 ways, for example, as 13778944 + 27206656 = 3712^2 + 5216^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24800 + ... + 26400.

Almost surely, 2^40985600 is an apocalyptic number.

40985600 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 40985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50829057).

40985600 is an abundant number, since it is smaller than the sum of its proper divisors (60672514).

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

40985600 is a wasteful number, since it uses less digits than its factorization.

40985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 40985600 is about 6401.9996875976. Note that the first 3 decimals coincide. The cubic root of 40985600 is about 344.7813499386.

40985600 divided by its sum of digits (32) gives a triangular number (1280800 = T₁₆₀₀).

The spelling of 40985600 in words is "forty million, nine hundred eighty-five thousand, six hundred".