4134220040 has 64 divisors (see below), whose sum is σ = 9454959360. Its totient is φ = 1626670080.

The previous prime is 4134220037. The next prime is 4134220043. The reversal of 4134220040 is 400224314.

It is an interprime number because it is at equal distance from previous prime (4134220037) and next prime (4134220043).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4134219994 and 4134220021.

It is not an unprimeable number, because it can be changed into a prime (4134220043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797537 + ... + 802703.

It is an arithmetic number, because the mean of its divisors is an integer number (147733740).

Almost surely, 2^4134220040 is an apocalyptic number.

4134220040 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 4134220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727479680).

4134220040 is an abundant number, since it is smaller than the sum of its proper divisors (5320739320).

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

4134220040 is a wasteful number, since it uses less digits than its factorization.

4134220040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5502 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4134220040 is about 64297.9007433369. The cubic root of 4134220040 is about 1604.9611685626.

Adding to 4134220040 its reverse (400224314), we get a palindrome (4534444354).

The spelling of 4134220040 in words is "four billion, one hundred thirty-four million, two hundred twenty thousand, forty".