8052035040 has 960 divisors, whose sum is σ = 36040080384. Its totient is φ = 1649590272.

The previous prime is 8052035039. The next prime is 8052035051. The reversal of 8052035040 is 405302508.

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 = 8052034995 and 8052035013.

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 35471407 + ... + 35471633.

Almost surely, 2^8052035040 is an apocalyptic number.

8052035040 is a gapful number since it is divisible by the number (80) 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 8052035040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18020040192).

8052035040 is an abundant number, since it is smaller than the sum of its proper divisors (27988045344).

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

8052035040 is a wasteful number, since it uses less digits than its factorization.

8052035040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 8052035040 is about 89733.1323425188. The cubic root of 8052035040 is about 2004.3268856131.

Adding to 8052035040 its reverse (405302508), we get a palindrome (8457337548).

The spelling of 8052035040 in words is "eight billion, fifty-two million, thirty-five thousand, forty".