34225144020240 has 80 divisors (see below), whose sum is σ = 106103339451648. Its totient is φ = 9126241159168.

The previous prime is 34225144020239. The next prime is 34225144020241. The reversal of 34225144020240 is 4202044152243.

It is an interprime number because it is at equal distance from previous prime (34225144020239) and next prime (34225144020241).

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

It is not an unprimeable number, because it can be changed into a prime (34225144020241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1120024 + ... + 8348936.

Almost surely, 2^{34225144020240} is an apocalyptic number.

34225144020240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34225144020240 is an abundant number, since it is smaller than the sum of its proper divisors (71878195431408).

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

34225144020240 is a wasteful number, since it uses less digits than its factorization.

34225144020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7248656 (or 7248650 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 33.

Adding to 34225144020240 its reverse (4202044152243), we get a palindrome (38427188172483).

The spelling of 34225144020240 in words is "thirty-four trillion, two hundred twenty-five billion, one hundred forty-four million, twenty thousand, two hundred forty".