224434122153040 has 80 divisors (see below), whose sum is σ = 525009011522688. Its totient is φ = 89223320473088.

The previous prime is 224434122152857. The next prime is 224434122153121. The reversal of 224434122153040 is 40351221434422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 92495979 + ... + 94891381.

Almost surely, 2^{224434122153040} is an apocalyptic number.

224434122153040 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 224434122153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262504505761344).

224434122153040 is an abundant number, since it is smaller than the sum of its proper divisors (300574889369648).

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

224434122153040 is a wasteful number, since it uses less digits than its factorization.

224434122153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402596 (or 2402590 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 224434122153040 its reverse (40351221434422), we get a palindrome (264785343587462).

The spelling of 224434122153040 in words is "two hundred twenty-four trillion, four hundred thirty-four billion, one hundred twenty-two million, one hundred fifty-three thousand, forty".