225142743040 has 224 divisors, whose sum is σ = 552890862720. Its totient is φ = 87982080000.

The previous prime is 225142743031. The next prime is 225142743041. The reversal of 225142743040 is 40347241522.

It is a junction number, because it is equal to n+sod(n) for n = 225142742987 and 225142743005.

It is not an unprimeable number, because it can be changed into a prime (225142743041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627138381 + ... + 627138739.

It is an arithmetic number, because the mean of its divisors is an integer number (2468262780).

Almost surely, 2^225142743040 is an apocalyptic number.

225142743040 is a gapful number since it is divisible by the number (20) 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 225142743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276445431360).

225142743040 is an abundant number, since it is smaller than the sum of its proper divisors (327748119680).

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

225142743040 is an equidigital number, since it uses as much as digits as its factorization.

225142743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

Adding to 225142743040 its reverse (40347241522), we get a palindrome (265489984562).

The spelling of 225142743040 in words is "two hundred twenty-five billion, one hundred forty-two million, seven hundred forty-three thousand, forty".