1011274240 has 160 divisors (see below), whose sum is σ = 2704648320. Its totient is φ = 360382464.

The previous prime is 1011274237. The next prime is 1011274249. The reversal of 1011274240 is 424721101.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011274249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 826269 + ... + 827491.

It is an arithmetic number, because the mean of its divisors is an integer number (16904052).

Almost surely, 2^1011274240 is an apocalyptic number.

1011274240 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 1011274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352324160).

1011274240 is an abundant number, since it is smaller than the sum of its proper divisors (1693374080).

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

1011274240 is a wasteful number, since it uses less digits than its factorization.

1011274240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 1011274240 is about 31800.5383602228. The cubic root of 1011274240 is about 1003.7440446353.

Adding to 1011274240 its reverse (424721101), we get a palindrome (1435995341).

The spelling of 1011274240 in words is "one billion, eleven million, two hundred seventy-four thousand, two hundred forty".