10225440540 has 192 divisors, whose sum is σ = 37099776000. Its totient is φ = 2337201216.

The previous prime is 10225440527. The next prime is 10225440541. The reversal of 10225440540 is 4504452201.

10225440540 is a `hidden beast` number, since 1 + 0 + 2 + 254 + 405 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225440541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157617 + ... + 212823.

It is an arithmetic number, because the mean of its divisors is an integer number (193228000).

Almost surely, 2^10225440540 is an apocalyptic number.

10225440540 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 10225440540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18549888000).

10225440540 is an abundant number, since it is smaller than the sum of its proper divisors (26874335460).

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

10225440540 is a wasteful number, since it uses less digits than its factorization.

10225440540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55246 (or 55224 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 10225440540 its reverse (4504452201), we get a palindrome (14729892741).

The spelling of 10225440540 in words is "ten billion, two hundred twenty-five million, four hundred forty thousand, five hundred forty".