40434944 has 72 divisors (see below), whose sum is σ = 89625312. Its totient is φ = 18053120.

The previous prime is 40434941. The next prime is 40434971. The reversal of 40434944 is 44943404.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40434944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 233642 + ... + 233814.

It is an arithmetic number, because the mean of its divisors is an integer number (1244796).

Almost surely, 2^40434944 is an apocalyptic number.

40434944 is a gapful number since it is divisible by the number (44) 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 40434944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44812656).

40434944 is an abundant number, since it is smaller than the sum of its proper divisors (49190368).

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

40434944 is a wasteful number, since it uses less digits than its factorization.

40434944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 40434944 is about 6358.8476943547. The cubic root of 40434944 is about 343.2302963712.

The spelling of 40434944 in words is "forty million, four hundred thirty-four thousand, nine hundred forty-four".