34122421223040 has 64 divisors (see below), whose sum is σ = 108765217654560. Its totient is φ = 9099312325632.

The previous prime is 34122421223039. The next prime is 34122421223041. The reversal of 34122421223040 is 4032212422143.

It is an interprime number because it is at equal distance from previous prime (34122421223039) and next prime (34122421223041).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34122421222989 and 34122421223007.

It is not an unprimeable number, because it can be changed into a prime (34122421223041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8886045274 + ... + 8886049113.

Almost surely, 2^{34122421223040} is an apocalyptic number.

34122421223040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34122421223040 is an abundant number, since it is smaller than the sum of its proper divisors (74642796431520).

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

34122421223040 is a wasteful number, since it uses less digits than its factorization.

34122421223040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17772094409 (or 17772094397 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34122421223040 its reverse (4032212422143), we get a palindrome (38154633645183).

The spelling of 34122421223040 in words is "thirty-four trillion, one hundred twenty-two billion, four hundred twenty-one million, two hundred twenty-three thousand, forty".