40893440 has 132 divisors (see below), whose sum is σ = 114812136. Its totient is φ = 13934592.

The previous prime is 40893427. The next prime is 40893487. The reversal of 40893440 is 4439804.

40893440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 40893397 and 40893406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 250799 + ... + 250961.

Almost surely, 2^40893440 is an apocalyptic number.

40893440 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 40893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57406068).

40893440 is an abundant number, since it is smaller than the sum of its proper divisors (73918696).

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

40893440 is a wasteful number, since it uses less digits than its factorization.

40893440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 40893440 is about 6394.7978857818. The cubic root of 40893440 is about 344.5227315018.

The spelling of 40893440 in words is "forty million, eight hundred ninety-three thousand, four hundred forty".