11425346240 has 224 divisors, whose sum is σ = 34263226368. Its totient is φ = 3525120000.

The previous prime is 11425346237. The next prime is 11425346269. The reversal of 11425346240 is 4264352411.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11425346197 and 11425346206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2486345 + ... + 2490935.

It is an arithmetic number, because the mean of its divisors is an integer number (152960832).

Almost surely, 2^11425346240 is an apocalyptic number.

11425346240 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 11425346240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17131613184).

11425346240 is an abundant number, since it is smaller than the sum of its proper divisors (22837880128).

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

11425346240 is a wasteful number, since it uses less digits than its factorization.

11425346240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4727 (or 4717 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 11425346240 its reverse (4264352411), we get a palindrome (15689698651).

The spelling of 11425346240 in words is "eleven billion, four hundred twenty-five million, three hundred forty-six thousand, two hundred forty".