11420225040 has 320 divisors, whose sum is σ = 41671618560. Its totient is φ = 2533386240.

The previous prime is 11420225021. The next prime is 11420225051. The reversal of 11420225040 is 4052202411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11420224998 and 11420225016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7991046 + ... + 7992474.

It is an arithmetic number, because the mean of its divisors is an integer number (130223808).

Almost surely, 2^11420225040 is an apocalyptic number.

11420225040 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 11420225040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20835809280).

11420225040 is an abundant number, since it is smaller than the sum of its proper divisors (30251393520).

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

11420225040 is a wasteful number, since it uses less digits than its factorization.

11420225040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1590 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 11420225040 its reverse (4052202411), we get a palindrome (15472427451).

The spelling of 11420225040 in words is "eleven billion, four hundred twenty million, two hundred twenty-five thousand, forty".