4013773104 has 160 divisors (see below), whose sum is σ = 12133152000. Its totient is φ = 1130388480.

The previous prime is 4013773103. The next prime is 4013773111.

4013773104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4013773104² = 32220749060787589632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013773103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527922 + ... + 535470.

It is an arithmetic number, because the mean of its divisors is an integer number (75832200).

Almost surely, 2^4013773104 is an apocalyptic number.

4013773104 is a gapful number since it is divisible by the number (44) 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 4013773104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6066576000).

4013773104 is an abundant number, since it is smaller than the sum of its proper divisors (8119378896).

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

4013773104 is a wasteful number, since it uses less digits than its factorization.

4013773104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7643 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 4013773104 is about 63354.3455810255. The cubic root of 4013773104 is about 1589.2209181115.

The spelling of 4013773104 in words is "four billion, thirteen million, seven hundred seventy-three thousand, one hundred four".