4034121440 has 48 divisors (see below), whose sum is σ = 9534408912. Its totient is φ = 1613005824.

The previous prime is 4034121431. The next prime is 4034121499. The reversal of 4034121440 is 441214304.

It is a happy number.

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 7 ways as a sum of consecutive naturals, for example, 787367 + ... + 792473.

It is an arithmetic number, because the mean of its divisors is an integer number (198633519).

Almost surely, 2^4034121440 is an apocalyptic number.

4034121440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4034121440 is an abundant number, since it is smaller than the sum of its proper divisors (5500287472).

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

4034121440 is a wasteful number, since it uses less digits than its factorization.

4034121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10059 (or 10051 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 4034121440 is about 63514.7340386465. The cubic root of 4034121440 is about 1591.9019787632.

Adding to 4034121440 its reverse (441214304), we get a palindrome (4475335744).

The spelling of 4034121440 in words is "four billion, thirty-four million, one hundred twenty-one thousand, four hundred forty".