225905435040 has 96 divisors (see below), whose sum is σ = 712148552640. Its totient is φ = 60195190784.

The previous prime is 225905435033. The next prime is 225905435071. The reversal of 225905435040 is 40534509522.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×225905435040² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225905435040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 447316 + ... + 807404.

It is an arithmetic number, because the mean of its divisors is an integer number (7418214090).

Almost surely, 2^225905435040 is an apocalyptic number.

225905435040 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 225905435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356074276320).

225905435040 is an abundant number, since it is smaller than the sum of its proper divisors (486243117600).

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

225905435040 is a wasteful number, since it uses less digits than its factorization.

225905435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361414 (or 361406 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 225905435040 in words is "two hundred twenty-five billion, nine hundred five million, four hundred thirty-five thousand, forty".