949136040 has 96 divisors (see below), whose sum is σ = 3094795080. Its totient is φ = 252274176.

The previous prime is 949135997. The next prime is 949136057. The reversal of 949136040 is 40631949.

949136040 is a `hidden beast` number, since 9 + 49 + 1 + 3 + 604 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 798288516 + 150847524 = 28254^2 + 12282^2 .

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 = 949135986 and 949136004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109962 + ... + 118278.

Almost surely, 2^949136040 is an apocalyptic number.

949136040 is a gapful number since it is divisible by the number (90) 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 949136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547397540).

949136040 is an abundant number, since it is smaller than the sum of its proper divisors (2145659040).

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

949136040 is a wasteful number, since it uses less digits than its factorization.

949136040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8651 (or 8644 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 949136040 is about 30808.0515450101. The cubic root of 949136040 is about 982.7494772722.

Adding to 949136040 its reverse (40631949), we get a palindrome (989767989).

The spelling of 949136040 in words is "nine hundred forty-nine million, one hundred thirty-six thousand, forty".