4014072440 has 64 divisors (see below), whose sum is σ = 10370972160. Its totient is φ = 1369710720.

The previous prime is 4014072407. The next prime is 4014072451. The reversal of 4014072440 is 442704104.

It is a super-2 number, since 2×4014072440² = 32225555107135107200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 25109 + ... + 93051.

It is an arithmetic number, because the mean of its divisors is an integer number (162046440).

Almost surely, 2^4014072440 is an apocalyptic number.

4014072440 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 4014072440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185486080).

4014072440 is an abundant number, since it is smaller than the sum of its proper divisors (6356899720).

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

4014072440 is a wasteful number, since it uses less digits than its factorization.

4014072440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68172 (or 68168 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 4014072440 is about 63356.7079321519. The cubic root of 4014072440 is about 1589.2604236835.

Adding to 4014072440 its reverse (442704104), we get a palindrome (4456776544).

The spelling of 4014072440 in words is "four billion, fourteen million, seventy-two thousand, four hundred forty".