40866400 has 72 divisors (see below), whose sum is σ = 104149584. Its totient is φ = 15628800.

The previous prime is 40866323. The next prime is 40866407. The reversal of 40866400 is 466804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40866407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17290 + ... + 19510.

It is an arithmetic number, because the mean of its divisors is an integer number (1446522).

Almost surely, 2^40866400 is an apocalyptic number.

40866400 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 40866400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52074792).

40866400 is an abundant number, since it is smaller than the sum of its proper divisors (63283184).

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

40866400 is a wasteful number, since it uses less digits than its factorization.

40866400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 40866400 is about 6392.6833176687. The cubic root of 40866400 is about 344.4467784171.

The spelling of 40866400 in words is "forty million, eight hundred sixty-six thousand, four hundred".