1040649499890 has 2304 divisors, whose sum is σ = 4216259174400. Its totient is φ = 178845511680.

The previous prime is 1040649499889. The next prime is 1040649499937. The reversal of 1040649499890 is 989949460401.

1040649499890 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 64 + 9 + 499 + 89 + 0 = 666.

It is a super-2 number, since 2×1040649499890² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 11692690966 + ... + 11692691054.

It is an arithmetic number, because the mean of its divisors is an integer number (1829973600).

Almost surely, 2^{1040649499890} is an apocalyptic number.

1040649499890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040649499890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108129587200).

1040649499890 is an abundant number, since it is smaller than the sum of its proper divisors (3175609674510).

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

1040649499890 is a wasteful number, since it uses less digits than its factorization.

1040649499890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 1040649499890 in words is "one trillion, forty billion, six hundred forty-nine million, four hundred ninety-nine thousand, eight hundred ninety".