4020013584 has 160 divisors (see below), whose sum is σ = 11859161600. Its totient is φ = 1303102080.

The previous prime is 4020013561. The next prime is 4020013607. The reversal of 4020013584 is 4853100204.

It is an interprime number because it is at equal distance from previous prime (4020013561) and next prime (4020013607).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7040019 + ... + 7040589.

It is an arithmetic number, because the mean of its divisors is an integer number (74119760).

Almost surely, 2^4020013584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020013584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929580800).

4020013584 is an abundant number, since it is smaller than the sum of its proper divisors (7839148016).

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

4020013584 is a wasteful number, since it uses less digits than its factorization.

4020013584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4020013584 is about 63403.5770599735. The cubic root of 4020013584 is about 1590.0441141196.

Adding to 4020013584 its reverse (4853100204), we get a palindrome (8873113788).

The spelling of 4020013584 in words is "four billion, twenty million, thirteen thousand, five hundred eighty-four".