4002001920 has 528 divisors, whose sum is σ = 16707450240. Its totient is φ = 865271808.

The previous prime is 4002001879. The next prime is 4002001921. The reversal of 4002001920 is 291002004.

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 = 4002001893 and 4002001902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002001921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6128314 + ... + 6128966.

Almost surely, 2^4002001920 is an apocalyptic number.

4002001920 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 4002001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8353725120).

4002001920 is an abundant number, since it is smaller than the sum of its proper divisors (12705448320).

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

4002001920 is a wasteful number, since it uses less digits than its factorization.

4002001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4002001920 is about 63261.3777908765. The cubic root of 4002001920 is about 1587.6658286275.

Adding to 4002001920 its reverse (291002004), we get a palindrome (4293003924).

The spelling of 4002001920 in words is "four billion, two million, one thousand, nine hundred twenty".