240224345434000 has 320 divisors, whose sum is σ = 615198104801280. Its totient is φ = 90538104729600.

The previous prime is 240224345433979. The next prime is 240224345434063. The reversal of 240224345434000 is 434543422042.

It is a super-2 number, since 2×240224345434000² (a number of 30 digits) contains 22 as substring.

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, 2676281121 + ... + 2676370879.

It is an arithmetic number, because the mean of its divisors is an integer number (1922494077504).

Almost surely, 2^{240224345434000} is an apocalyptic number.

240224345434000 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 240224345434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307599052400640).

240224345434000 is an abundant number, since it is smaller than the sum of its proper divisors (374973759367280).

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

240224345434000 is a wasteful number, since it uses less digits than its factorization.

240224345434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90675 (or 90659 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 37.

Adding to 240224345434000 its reverse (434543422042), we get a palindrome (240658888856042).

The spelling of 240224345434000 in words is "two hundred forty trillion, two hundred twenty-four billion, three hundred forty-five million, four hundred thirty-four thousand".