4039090440 has 512 divisors, whose sum is σ = 15925248000. Its totient is φ = 795110400.

The previous prime is 4039090439. The next prime is 4039090453. The reversal of 4039090440 is 440909304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16899841 + ... + 16900079.

It is an arithmetic number, because the mean of its divisors is an integer number (31104000).

Almost surely, 2^4039090440 is an apocalyptic number.

4039090440 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 4039090440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962624000).

4039090440 is an abundant number, since it is smaller than the sum of its proper divisors (11886157560).

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

4039090440 is a wasteful number, since it uses less digits than its factorization.

4039090440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 4039090440 is about 63553.8389084405. The cubic root of 4039090440 is about 1592.5553151843. Note that the first 3 decimals are identical.

Adding to 4039090440 its reverse (440909304), we get a palindrome (4479999744).

The spelling of 4039090440 in words is "four billion, thirty-nine million, ninety thousand, four hundred forty".