11542522414140 has 288 divisors, whose sum is σ = 35847897845760. Its totient is φ = 3005481024000.

The previous prime is 11542522414079. The next prime is 11542522414151. The reversal of 11542522414140 is 4141422524511.

It is a happy number.

11542522414140 is a `hidden beast` number, since 1 + 1 + 5 + 425 + 224 + 1 + 4 + 1 + 4 + 0 = 666.

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 = 11542522414095 and 11542522414104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1388820585 + ... + 1388828895.

It is an arithmetic number, because the mean of its divisors is an integer number (124471867520).

Almost surely, 2^{11542522414140} is an apocalyptic number.

11542522414140 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 11542522414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17923948922880).

11542522414140 is an abundant number, since it is smaller than the sum of its proper divisors (24305375431620).

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

11542522414140 is a wasteful number, since it uses less digits than its factorization.

11542522414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9473 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 11542522414140 its reverse (4141422524511), we get a palindrome (15683944938651).

The spelling of 11542522414140 in words is "eleven trillion, five hundred forty-two billion, five hundred twenty-two million, four hundred fourteen thousand, one hundred forty".