4014205440 has 240 divisors, whose sum is σ = 14929481952. Its totient is φ = 917446656.

The previous prime is 4014205439. The next prime is 4014205441. The reversal of 4014205440 is 445024104.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4014205439) and next prime (4014205441).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4014205440² = 32227690629051187200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4014205440.

It is not an unprimeable number, because it can be changed into a prime (4014205441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370987 + ... + 381653.

Almost surely, 2^4014205440 is an apocalyptic number.

4014205440 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 4014205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7464740976).

4014205440 is an abundant number, since it is smaller than the sum of its proper divisors (10915276512).

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

4014205440 is a wasteful number, since it uses less digits than its factorization.

4014205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10707 (or 10684 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 4014205440 is about 63357.7575360745. The cubic root of 4014205440 is about 1589.2779760409.

Adding to 4014205440 its reverse (445024104), we get a palindrome (4459229544).

The spelling of 4014205440 in words is "four billion, fourteen million, two hundred five thousand, four hundred forty".