40719744 has 96 divisors (see below), whose sum is σ = 126235200. Its totient is φ = 12524544.

The previous prime is 40719737. The next prime is 40719761. The reversal of 40719744 is 44791704.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 40719699 and 40719708.

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 11 ways as a sum of consecutive naturals, for example, 13617 + ... + 16335.

It is an arithmetic number, because the mean of its divisors is an integer number (1314950).

Almost surely, 2^40719744 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 40719744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63117600).

40719744 is an abundant number, since it is smaller than the sum of its proper divisors (85515456).

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

40719744 is a wasteful number, since it uses less digits than its factorization.

40719744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 40719744 is about 6381.2023945335. The cubic root of 40719744 is about 344.0342493392.

The spelling of 40719744 in words is "forty million, seven hundred nineteen thousand, seven hundred forty-four".