4013211020 has 192 divisors, whose sum is σ = 10848854016. Its totient is φ = 1212917760.

The previous prime is 4013211019. The next prime is 4013211061. The reversal of 4013211020 is 201123104.

It is a super-2 number, since 2×4013211020² = 32211725382098880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 4013210986 and 4013211004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4682432 + ... + 4683288.

It is an arithmetic number, because the mean of its divisors is an integer number (56504448).

Almost surely, 2^4013211020 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 4013211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5424427008).

4013211020 is an abundant number, since it is smaller than the sum of its proper divisors (6835642996).

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

4013211020 is a wasteful number, since it uses less digits than its factorization.

4013211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 4013211020 is about 63349.9093922004. The cubic root of 4013211020 is about 1589.1467304474.

Adding to 4013211020 its reverse (201123104), we get a palindrome (4214334124).

The spelling of 4013211020 in words is "four billion, thirteen million, two hundred eleven thousand, twenty".