4042640 has 40 divisors (see below), whose sum is σ = 10743360. Its totient is φ = 1385856.

The previous prime is 4042639. The next prime is 4042673. The reversal of 4042640 is 462404.

4042640 = T₁₄₀ + T₁₄₁ + ... + T₂₉₉.

4042640 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 3050 + ... + 4169.

It is an arithmetic number, because the mean of its divisors is an integer number (268584).

Almost surely, 2^4042640 is an apocalyptic number.

4042640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042640 is an abundant number, since it is smaller than the sum of its proper divisors (6700720).

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

4042640 is a wasteful number, since it uses less digits than its factorization.

4042640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7239 (or 7233 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4042640 is about 2010.6317415181. The cubic root of 4042640 is about 159.3021692093.

The spelling of 4042640 in words is "four million, forty-two thousand, six hundred forty".