4076020440 has 320 divisors, whose sum is σ = 14489798400. Its totient is φ = 1025595648.

The previous prime is 4076020393. The next prime is 4076020451. The reversal of 4076020440 is 440206704.

It is a super-2 number, since 2×4076020440² = 33227885254595587200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6184831 + ... + 6185489.

It is an arithmetic number, because the mean of its divisors is an integer number (45280620).

Almost surely, 2^4076020440 is an apocalyptic number.

4076020440 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 4076020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244899200).

4076020440 is an abundant number, since it is smaller than the sum of its proper divisors (10413777960).

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

4076020440 is a wasteful number, since it uses less digits than its factorization.

4076020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4076020440 is about 63843.7188766444. The cubic root of 4076020440 is about 1597.3942533983.

The spelling of 4076020440 in words is "four billion, seventy-six million, twenty thousand, four hundred forty".