11134042325040 has 160 divisors (see below), whose sum is σ = 34551919339200. Its totient is φ = 2965949595648.

The previous prime is 11134042324981. The next prime is 11134042325071. The reversal of 11134042325040 is 4052324043111.

It is a super-2 number, since 2×11134042325040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11134042324989 and 11134042325007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1180324164 + ... + 1180333596.

It is an arithmetic number, because the mean of its divisors is an integer number (215949495870).

Almost surely, 2^{11134042325040} is an apocalyptic number.

11134042325040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11134042325040 is an abundant number, since it is smaller than the sum of its proper divisors (23417877014160).

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

11134042325040 is a wasteful number, since it uses less digits than its factorization.

11134042325040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14111 (or 14105 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 11134042325040 its reverse (4052324043111), we get a palindrome (15186366368151).

The spelling of 11134042325040 in words is "eleven trillion, one hundred thirty-four billion, forty-two million, three hundred twenty-five thousand, forty".