34142022420000 has 960 divisors, whose sum is σ = 129620295028224. Its totient is φ = 7774341120000.

The previous prime is 34142022419987. The next prime is 34142022420019. The reversal of 34142022420000 is 2422024143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6137337219 + ... + 6137342781.

Almost surely, 2^{34142022420000} is an apocalyptic number.

34142022420000 is a gapful number since it is divisible by the number (30) 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 34142022420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64810147514112).

34142022420000 is an abundant number, since it is smaller than the sum of its proper divisors (95478272608224).

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

34142022420000 is a wasteful number, since it uses less digits than its factorization.

34142022420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34142022420000 its reverse (2422024143), we get a palindrome (34144444444143).

The spelling of 34142022420000 in words is "thirty-four trillion, one hundred forty-two billion, twenty-two million, four hundred twenty thousand".