4024001520 has 360 divisors, whose sum is σ = 17151067440. Its totient is φ = 836075520.

The previous prime is 4024001497. The next prime is 4024001551. The reversal of 4024001520 is 251004204.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4024001493 and 4024001502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 382896 + ... + 393264.

It is an arithmetic number, because the mean of its divisors is an integer number (47641854).

Almost surely, 2^4024001520 is an apocalyptic number.

4024001520 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 4024001520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8575533720).

4024001520 is an abundant number, since it is smaller than the sum of its proper divisors (13127065920).

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

4024001520 is a wasteful number, since it uses less digits than its factorization.

4024001520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10413 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 4024001520 is about 63435.0180893803. The cubic root of 4024001520 is about 1590.5697258195.

Adding to 4024001520 its reverse (251004204), we get a palindrome (4275005724).

The spelling of 4024001520 in words is "four billion, twenty-four million, one thousand, five hundred twenty".