1011040140240 has 400 divisors, whose sum is σ = 3980645222400. Its totient is φ = 235772550144.

The previous prime is 1011040140239. The next prime is 1011040140317. The reversal of 1011040140240 is 420410401101.

1011040140240 is a `hidden beast` number, since 10 + 1 + 10 + 401 + 4 + 0 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1284721 + ... + 1916399.

It is an arithmetic number, because the mean of its divisors is an integer number (9951613056).

Almost surely, 2^{1011040140240} is an apocalyptic number.

1011040140240 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 1011040140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990322611200).

1011040140240 is an abundant number, since it is smaller than the sum of its proper divisors (2969605082160).

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

1011040140240 is a wasteful number, since it uses less digits than its factorization.

1011040140240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631736 (or 631721 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 1011040140240 its reverse (420410401101), we get a palindrome (1431450541341).

The spelling of 1011040140240 in words is "one trillion, eleven billion, forty million, one hundred forty thousand, two hundred forty".