225207440640 has 1152 divisors, whose sum is σ = 994737945600. Its totient is φ = 46979481600.

The previous prime is 225207440621. The next prime is 225207440659. The reversal of 225207440640 is 46044702522.

225207440640 is a `hidden beast` number, since 2 + 2 + 5 + 2 + 0 + 7 + 4 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (225207440621) and next prime (225207440659).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225207440595 and 225207440604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317640606 + ... + 317641314.

It is an arithmetic number, because the mean of its divisors is an integer number (863487800).

Almost surely, 2^225207440640 is an apocalyptic number.

225207440640 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 225207440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497368972800).

225207440640 is an abundant number, since it is smaller than the sum of its proper divisors (769530504960).

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

225207440640 is a wasteful number, since it uses less digits than its factorization.

225207440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 225207440640 in words is "two hundred twenty-five billion, two hundred seven million, four hundred forty thousand, six hundred forty".