40989600 has 108 divisors (see below), whose sum is σ = 144564966. Its totient is φ = 10928640.

The previous prime is 40989587. The next prime is 40989643. The reversal of 40989600 is 698904.

40989600 is a `hidden beast` number, since 40 + 9 + 8 + 9 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 22014864 + 18974736 = 4692^2 + 4356^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4354 + ... + 10046.

Almost surely, 2^40989600 is an apocalyptic number.

40989600 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 40989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72282483).

40989600 is an abundant number, since it is smaller than the sum of its proper divisors (103575366).

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

40989600 is a wasteful number, since it uses less digits than its factorization.

40989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5719 (or 5703 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 40989600 is about 6402.3120823652. The cubic root of 40989600 is about 344.7925659148.

It can be divided in two parts, 409 and 89600, that added together give a palindrome (90009).

The spelling of 40989600 in words is "forty million, nine hundred eighty-nine thousand, six hundred".