40049640 has 160 divisors (see below), whose sum is σ = 137998080. Its totient is φ = 10412928.

The previous prime is 40049629. The next prime is 40049657. The reversal of 40049640 is 4694004.

40049640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152149 + ... + 152411.

It is an arithmetic number, because the mean of its divisors is an integer number (862488).

Almost surely, 2^40049640 is an apocalyptic number.

40049640 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 40049640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68999040).

40049640 is an abundant number, since it is smaller than the sum of its proper divisors (97948440).

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

40049640 is a wasteful number, since it uses less digits than its factorization.

40049640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40049640 is about 6328.4784901270. The cubic root of 40049640 is about 342.1366028634.

The spelling of 40049640 in words is "forty million, forty-nine thousand, six hundred forty".