40661000 has 64 divisors (see below), whose sum is σ = 96623280. Its totient is φ = 16012800.

The previous prime is 40660979. The next prime is 40661029. The reversal of 40661000 is 16604.

It can be written as a sum of positive squares in 8 ways, for example, as 33124 + 40627876 = 182^2 + 6374^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40661000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72722 + ... + 73278.

Almost surely, 2^40661000 is an apocalyptic number.

40661000 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 40661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48311640).

40661000 is an abundant number, since it is smaller than the sum of its proper divisors (55962280).

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

40661000 is a wasteful number, since it uses less digits than its factorization.

40661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 40661000 is about 6376.5978389734. The cubic root of 40661000 is about 343.8687303360.

Adding to 40661000 its reverse (16604), we get a palindrome (40677604).

The spelling of 40661000 in words is "forty million, six hundred sixty-one thousand".