4034273040 has 800 divisors, whose sum is σ = 17515069440. Its totient is φ = 839808000.

The previous prime is 4034272999. The next prime is 4034273041. The reversal of 4034273040 is 403724304.

It is a super-2 number, since 2×4034273040² = 32550717922541683200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4034272995 and 4034273013.

It is not an unprimeable number, because it can be changed into a prime (4034273041) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26716965 + ... + 26717115.

Almost surely, 2^4034273040 is an apocalyptic number.

4034273040 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 4034273040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8757534720).

4034273040 is an abundant number, since it is smaller than the sum of its proper divisors (13480796400).

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

4034273040 is a wasteful number, since it uses less digits than its factorization.

4034273040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 4034273040 is about 63515.9274513094. The cubic root of 4034273040 is about 1591.9219194385.

Adding to 4034273040 its reverse (403724304), we get a palindrome (4437997344).

The spelling of 4034273040 in words is "four billion, thirty-four million, two hundred seventy-three thousand, forty".