8290049040 has 480 divisors, whose sum is σ = 35455230720. Its totient is φ = 1688408064.

The previous prime is 8290049029. The next prime is 8290049041. The reversal of 8290049040 is 409400928.

It is a happy number.

8290049040 is a `hidden beast` number, since 82 + 90 + 0 + 490 + 4 + 0 = 666.

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 = 8290048986 and 8290049004.

It is not an unprimeable number, because it can be changed into a prime (8290049041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1897899 + ... + 1902261.

It is an arithmetic number, because the mean of its divisors is an integer number (73865064).

Almost surely, 2^8290049040 is an apocalyptic number.

8290049040 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 8290049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17727615360).

8290049040 is an abundant number, since it is smaller than the sum of its proper divisors (27165181680).

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

8290049040 is a wasteful number, since it uses less digits than its factorization.

8290049040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4431 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8290049040 is about 91049.7064245679. The cubic root of 8290049040 is about 2023.8843859555.

Adding to 8290049040 its reverse (409400928), we get a palindrome (8699449968).

The spelling of 8290049040 in words is "eight billion, two hundred ninety million, forty-nine thousand, forty".