40801824 has 144 divisors (see below), whose sum is σ = 136438848. Its totient is φ = 11321856.

The previous prime is 40801771. The next prime is 40801867. The reversal of 40801824 is 42810804.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74319 + ... + 74865.

It is an arithmetic number, because the mean of its divisors is an integer number (947492).

Almost surely, 2^40801824 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 40801824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68219424).

40801824 is an abundant number, since it is smaller than the sum of its proper divisors (95637024).

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

40801824 is a wasteful number, since it uses less digits than its factorization.

40801824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 40801824 is about 6387.6305466112. The cubic root of 40801824 is about 344.2652542197.

The spelling of 40801824 in words is "forty million, eight hundred one thousand, eight hundred twenty-four".