11205255342040 has 64 divisors (see below), whose sum is σ = 26547085152000. Its totient is φ = 4244870424960.

The previous prime is 11205255342023. The next prime is 11205255342041. The reversal of 11205255342040 is 4024355250211.

It is a happy number.

11205255342040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11205255341987 and 11205255342005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11205255342041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114951 + ... + 4735369.

It is an arithmetic number, because the mean of its divisors is an integer number (414798205500).

Almost surely, 2^{11205255342040} is an apocalyptic number.

11205255342040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11205255342040 is an abundant number, since it is smaller than the sum of its proper divisors (15341829809960).

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

11205255342040 is a wasteful number, since it uses less digits than its factorization.

11205255342040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4623640 (or 4623636 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The spelling of 11205255342040 in words is "eleven trillion, two hundred five billion, two hundred fifty-five million, three hundred forty-two thousand, forty".