4077040 has 80 divisors (see below), whose sum is σ = 10686816. Its totient is φ = 1433600.

The previous prime is 4077037. The next prime is 4077041. The reversal of 4077040 is 407704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4077041) by changing a digit.

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, 36024 + ... + 36136.

Almost surely, 2^4077040 is an apocalyptic number.

4077040 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 4077040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343408).

4077040 is an abundant number, since it is smaller than the sum of its proper divisors (6609776).

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

4077040 is a wasteful number, since it uses less digits than its factorization.

4077040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 22.

The square root of 4077040 is about 2019.1681455491. The cubic root of 4077040 is about 159.7527430970.

It can be divided in two parts, 407 and 7040, that added together give a palindrome (7447).

The spelling of 4077040 in words is "four million, seventy-seven thousand, forty".