40627840 has 128 divisors (see below), whose sum is σ = 110160000. Its totient is φ = 14192640.

The previous prime is 40627837. The next prime is 40627859. The reversal of 40627840 is 4872604.

40627840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 204061 + ... + 204259.

It is an arithmetic number, because the mean of its divisors is an integer number (860625).

Almost surely, 2^40627840 is an apocalyptic number.

40627840 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 40627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080000).

40627840 is an abundant number, since it is smaller than the sum of its proper divisors (69532160).

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

40627840 is a wasteful number, since it uses less digits than its factorization.

40627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 40627840 is about 6373.9971760270. The cubic root of 40627840 is about 343.7752272395.

The spelling of 40627840 in words is "forty million, six hundred twenty-seven thousand, eight hundred forty".