225940323840 has 320 divisors, whose sum is σ = 900535933440. Its totient is φ = 46948515840.

The previous prime is 225940323839. The next prime is 225940323841. The reversal of 225940323840 is 48323049522.

It is an interprime number because it is at equal distance from previous prime (225940323839) and next prime (225940323841).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 225940323792 and 225940323801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225940323841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400326 + ... + 782394.

It is an arithmetic number, because the mean of its divisors is an integer number (2814174792).

Almost surely, 2^225940323840 is an apocalyptic number.

225940323840 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 225940323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450267966720).

225940323840 is an abundant number, since it is smaller than the sum of its proper divisors (674595609600).

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

225940323840 is a wasteful number, since it uses less digits than its factorization.

225940323840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382113 (or 382097 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 225940323840 in words is "two hundred twenty-five billion, nine hundred forty million, three hundred twenty-three thousand, eight hundred forty".