1134112100040 has 192 divisors, whose sum is σ = 3784916968560. Its totient is φ = 294404751360.

The previous prime is 1134112100039. The next prime is 1134112100057. The reversal of 1134112100040 is 400012114311.

1134112100040 is a `hidden beast` number, since 1 + 1 + 3 + 411 + 210 + 0 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 312765036516 + 821347063524 = 559254^2 + 906282^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1134112099986 and 1134112100022.

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, 1863912 + ... + 2396328.

Almost surely, 2^{1134112100040} is an apocalyptic number.

1134112100040 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 1134112100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892458484280).

1134112100040 is an abundant number, since it is smaller than the sum of its proper divisors (2650804868520).

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

1134112100040 is a wasteful number, since it uses less digits than its factorization.

1134112100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532592 (or 532585 counting only the distinct ones).

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

Adding to 1134112100040 its reverse (400012114311), we get a palindrome (1534124214351).

The spelling of 1134112100040 in words is "one trillion, one hundred thirty-four billion, one hundred twelve million, one hundred thousand, forty".