1011140240 has 80 divisors (see below), whose sum is σ = 2573513856. Its totient is φ = 366412800.

The previous prime is 1011140231. The next prime is 1011140257. The reversal of 1011140240 is 420411101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273605 + ... + 277275.

Almost surely, 2^1011140240 is an apocalyptic number.

1011140240 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 1011140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286756928).

1011140240 is an abundant number, since it is smaller than the sum of its proper divisors (1562373616).

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

1011140240 is a wasteful number, since it uses less digits than its factorization.

1011140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4008 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1011140240 is about 31798.4314078541. The cubic root of 1011140240 is about 1003.6997086092.

Adding to 1011140240 its reverse (420411101), we get a palindrome (1431551341).

The spelling of 1011140240 in words is "one billion, eleven million, one hundred forty thousand, two hundred forty".