8450519040 has 468 divisors, whose sum is σ = 31157777664. Its totient is φ = 2118057984.

The previous prime is 8450518981. The next prime is 8450519047. The reversal of 8450519040 is 409150548.

It is a super-2 number, since 2×8450519040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8450518986 and 8450519004.

It is not an unprimeable number, because it can be changed into a prime (8450519047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66539457 + ... + 66539583.

It is an arithmetic number, because the mean of its divisors is an integer number (66576448).

Almost surely, 2^8450519040 is an apocalyptic number.

8450519040 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 8450519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15578888832).

8450519040 is an abundant number, since it is smaller than the sum of its proper divisors (22707258624).

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

8450519040 is a wasteful number, since it uses less digits than its factorization.

8450519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 8450519040 is about 91926.7047163119. The cubic root of 8450519040 is about 2036.8597591437.

Adding to 8450519040 its reverse (409150548), we get a palindrome (8859669588).

The spelling of 8450519040 in words is "eight billion, four hundred fifty million, five hundred nineteen thousand, forty".