1011302231040 has 528 divisors, whose sum is σ = 3552525070848. Its totient is φ = 265981427712.

The previous prime is 1011302230997. The next prime is 1011302231053. The reversal of 1011302231040 is 401322031101.

1011302231040 is a `hidden beast` number, since 1 + 0 + 11 + 302 + 2 + 310 + 40 = 666.

1011302231040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2184237849 + ... + 2184238311.

Almost surely, 2^{1011302231040} is an apocalyptic number.

1011302231040 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 1011302231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776262535424).

1011302231040 is an abundant number, since it is smaller than the sum of its proper divisors (2541222839808).

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

1011302231040 is a wasteful number, since it uses less digits than its factorization.

1011302231040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1044 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1011302231040 its reverse (401322031101), we get a palindrome (1412624262141).

The spelling of 1011302231040 in words is "one trillion, eleven billion, three hundred two million, two hundred thirty-one thousand, forty".