11012131440 has 200 divisors, whose sum is σ = 39137213808. Its totient is φ = 2868203520.

The previous prime is 11012131433. The next prime is 11012131441. The reversal of 11012131440 is 4413121011.

11012131440 is a `hidden beast` number, since 1 + 10 + 1 + 213 + 1 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012131441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258880 + ... + 298400.

Almost surely, 2^11012131440 is an apocalyptic number.

11012131440 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 11012131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19568606904).

11012131440 is an abundant number, since it is smaller than the sum of its proper divisors (28125082368).

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

11012131440 is a wasteful number, since it uses less digits than its factorization.

11012131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39589 (or 39574 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11012131440 its reverse (4413121011), we get a palindrome (15425252451).

The spelling of 11012131440 in words is "eleven billion, twelve million, one hundred thirty-one thousand, four hundred forty".