11434535253040 has 20 divisors (see below), whose sum is σ = 26585294463504. Its totient is φ = 4573814101184.

The previous prime is 11434535253013. The next prime is 11434535253041. The reversal of 11434535253040 is 4035253543411.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11434535252984 and 11434535253002.

It is not an unprimeable number, because it can be changed into a prime (11434535253041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71465845252 + ... + 71465845411.

Almost surely, 2^{11434535253040} is an apocalyptic number.

11434535253040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11434535253040 is an abundant number, since it is smaller than the sum of its proper divisors (15150759210464).

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

11434535253040 is a wasteful number, since it uses less digits than its factorization.

11434535253040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142931690676 (or 142931690670 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 11434535253040 its reverse (4035253543411), we get a palindrome (15469788796451).

The spelling of 11434535253040 in words is "eleven trillion, four hundred thirty-four billion, five hundred thirty-five million, two hundred fifty-three thousand, forty".