1040155272 has 96 divisors (see below), whose sum is σ = 3049726680. Its totient is φ = 318366720.

The previous prime is 1040155271. The next prime is 1040155279. The reversal of 1040155272 is 2725510401.

1040155272 is a `hidden beast` number, since 1 + 0 + 40 + 1 + 552 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1034651556 + 5503716 = 32166^2 + 2346^2 .

It is not an unprimeable number, because it can be changed into a prime (1040155271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181572 + ... + 187212.

Almost surely, 2^1040155272 is an apocalyptic number.

1040155272 is a gapful number since it is divisible by the number (12) 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 1040155272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524863340).

1040155272 is an abundant number, since it is smaller than the sum of its proper divisors (2009571408).

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

1040155272 is a wasteful number, since it uses less digits than its factorization.

1040155272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5863 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 1040155272 is about 32251.4382935087. The cubic root of 1040155272 is about 1013.2098228774.

Adding to 1040155272 its reverse (2725510401), we get a palindrome (3765665673).

The spelling of 1040155272 in words is "one billion, forty million, one hundred fifty-five thousand, two hundred seventy-two".