11955242340 has 36 divisors (see below), whose sum is σ = 36264235644. Its totient is φ = 3188064576.

The previous prime is 11955242317. The next prime is 11955242347. The reversal of 11955242340 is 4324255911.

11955242340 is a `hidden beast` number, since 1 + 1 + 95 + 524 + 2 + 3 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9031461156 + 2923781184 = 95034^2 + 54072^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11955242295 and 11955242304.

It is not an unprimeable number, because it can be changed into a prime (11955242347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33208827 + ... + 33209186.

It is an arithmetic number, because the mean of its divisors is an integer number (1007339879).

Almost surely, 2^11955242340 is an apocalyptic number.

11955242340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11955242340 is an abundant number, since it is smaller than the sum of its proper divisors (24308993304).

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

11955242340 is a wasteful number, since it uses less digits than its factorization.

11955242340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66418028 (or 66418023 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 11955242340 in words is "eleven billion, nine hundred fifty-five million, two hundred forty-two thousand, three hundred forty".