4024145440 has 192 divisors, whose sum is σ = 11165527296. Its totient is φ = 1342144512.

The previous prime is 4024145431. The next prime is 4024145479. The reversal of 4024145440 is 445414204.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 4024145399 and 4024145408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6785784 + ... + 6786376.

It is an arithmetic number, because the mean of its divisors is an integer number (58153788).

Almost surely, 2^4024145440 is an apocalyptic number.

4024145440 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 4024145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5582763648).

4024145440 is an abundant number, since it is smaller than the sum of its proper divisors (7141381856).

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

4024145440 is a wasteful number, since it uses less digits than its factorization.

4024145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 28.

The square root of 4024145440 is about 63436.1524684466. The cubic root of 4024145440 is about 1590.5886880444.

Adding to 4024145440 its reverse (445414204), we get a palindrome (4469559644).

The spelling of 4024145440 in words is "four billion, twenty-four million, one hundred forty-five thousand, four hundred forty".