34402021022000 has 40 divisors (see below), whose sum is σ = 83184086836032. Its totient is φ = 13760808408000.

The previous prime is 34402021021997. The next prime is 34402021022009. The reversal of 34402021022000 is 22012020443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34402021022009) 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, 8600503256 + ... + 8600507255.

Almost surely, 2^{34402021022000} is an apocalyptic number.

It is an amenable number.

34402021022000 is an abundant number, since it is smaller than the sum of its proper divisors (48782065814032).

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

34402021022000 is a wasteful number, since it uses less digits than its factorization.

34402021022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17201010534 (or 17201010518 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 34402021022000 its reverse (22012020443), we get a palindrome (34424033042443).

The spelling of 34402021022000 in words is "thirty-four trillion, four hundred two billion, twenty-one million, twenty-two thousand".