40441416 has 64 divisors (see below), whose sum is σ = 105174720. Its totient is φ = 12948480.

The previous prime is 40441409. The next prime is 40441459. The reversal of 40441416 is 61414404.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 71551 + ... + 72113.

It is an arithmetic number, because the mean of its divisors is an integer number (1643355).

Almost surely, 2^40441416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40441416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52587360).

40441416 is an abundant number, since it is smaller than the sum of its proper divisors (64733304).

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

40441416 is a wasteful number, since it uses less digits than its factorization.

40441416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 40441416 is about 6359.3565712264. The cubic root of 40441416 is about 343.2486078261.

It can be divided in two parts, 4044 and 1416, that added together give a triangular number (5460 = T₁₀₄).

The spelling of 40441416 in words is "forty million, four hundred forty-one thousand, four hundred sixteen".