11425520240640 has 1920 divisors, whose sum is σ = 49806047491200. Its totient is φ = 2469050449920.

The previous prime is 11425520240597. The next prime is 11425520240647. The reversal of 11425520240640 is 4604202552411.

11425520240640 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 5 + 5 + 2 + 0 + 2 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 11425520240595 and 11425520240604.

It is not an unprimeable number, because it can be changed into a prime (11425520240647) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2946998382 + ... + 2947002258.

It is an arithmetic number, because the mean of its divisors is an integer number (25940649735).

Almost surely, 2^{11425520240640} is an apocalyptic number.

11425520240640 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 11425520240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24903023745600).

11425520240640 is an abundant number, since it is smaller than the sum of its proper divisors (38380527250560).

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

11425520240640 is a wasteful number, since it uses less digits than its factorization.

11425520240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 11425520240640 in words is "eleven trillion, four hundred twenty-five billion, five hundred twenty million, two hundred forty thousand, six hundred forty".