225520020151440 has 320 divisors, whose sum is σ = 846501309448704. Its totient is φ = 48485584502784.

The previous prime is 225520020151381. The next prime is 225520020151451. The reversal of 225520020151440 is 44151020025522.

225520020151440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 44340882 + ... + 49164558.

Almost surely, 2^{225520020151440} is an apocalyptic number.

225520020151440 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 225520020151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423250654724352).

225520020151440 is an abundant number, since it is smaller than the sum of its proper divisors (620981289297264).

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

225520020151440 is a wasteful number, since it uses less digits than its factorization.

225520020151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825354 (or 4825348 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

Adding to 225520020151440 its reverse (44151020025522), we get a palindrome (269671040176962).

The spelling of 225520020151440 in words is "two hundred twenty-five trillion, five hundred twenty billion, twenty million, one hundred fifty-one thousand, four hundred forty".