40944960 has 224 divisors, whose sum is σ = 165323520. Its totient is φ = 9345024.

The previous prime is 40944949. The next prime is 40945001. The reversal of 40944960 is 6944904.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60142 + ... + 60818.

Almost surely, 2^40944960 is an apocalyptic number.

40944960 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 40944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82661760).

40944960 is an abundant number, since it is smaller than the sum of its proper divisors (124378560).

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

40944960 is a wasteful number, since it uses less digits than its factorization.

40944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 40944960 is about 6398.8248921189. The cubic root of 40944960 is about 344.6673542274.

It can be divided in two parts, 409 and 44960, that added together give a square (45369 = 213²).

The spelling of 40944960 in words is "forty million, nine hundred forty-four thousand, nine hundred sixty".