1040149040 has 80 divisors (see below), whose sum is σ = 2770775040. Its totient is φ = 355726080.

The previous prime is 1040149031. The next prime is 1040149043. The reversal of 1040149040 is 409410401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1040148997 and 1040149015.

It is not an unprimeable number, because it can be changed into a prime (1040149043) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 243725 + ... + 247955.

It is an arithmetic number, because the mean of its divisors is an integer number (34634688).

Almost surely, 2^1040149040 is an apocalyptic number.

1040149040 is a gapful number since it is divisible by the number (10) 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 1040149040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385387520).

1040149040 is an abundant number, since it is smaller than the sum of its proper divisors (1730626000).

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

1040149040 is a wasteful number, since it uses less digits than its factorization.

1040149040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690 (or 4684 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 1040149040 is about 32251.3416775179. The cubic root of 1040149040 is about 1013.2077993538.

Adding to 1040149040 its reverse (409410401), we get a palindrome (1449559441).

The spelling of 1040149040 in words is "one billion, forty million, one hundred forty-nine thousand, forty".