34202045421000 has 256 divisors, whose sum is σ = 119362857120000. Its totient is φ = 9059332665600.

The previous prime is 34202045420999. The next prime is 34202045421031. The reversal of 34202045421000 is 12454020243.

34202045421000 is a `hidden beast` number, since 3 + 4 + 202 + 0 + 454 + 2 + 1 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 227814 + ... + 8273813.

It is an arithmetic number, because the mean of its divisors is an integer number (466261160625).

Almost surely, 2^{34202045421000} is an apocalyptic number.

34202045421000 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 34202045421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59681428560000).

34202045421000 is an abundant number, since it is smaller than the sum of its proper divisors (85160811699000).

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

34202045421000 is a wasteful number, since it uses less digits than its factorization.

34202045421000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501806 (or 8501786 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 34202045421000 its reverse (12454020243), we get a palindrome (34214499441243).

The spelling of 34202045421000 in words is "thirty-four trillion, two hundred two billion, forty-five million, four hundred twenty-one thousand".