1020214334000 has 80 divisors (see below), whose sum is σ = 2467694349120. Its totient is φ = 407950732800.

The previous prime is 1020214333991. The next prime is 1020214334003. The reversal of 1020214334000 is 4334120201.

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

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 (1020214334003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6075164 + ... + 6240836.

It is an arithmetic number, because the mean of its divisors is an integer number (30846179364).

Almost surely, 2^{1020214334000} is an apocalyptic number.

1020214334000 is a gapful number since it is divisible by the number (10) 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 1020214334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233847174560).

1020214334000 is an abundant number, since it is smaller than the sum of its proper divisors (1447480015120).

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

1020214334000 is a wasteful number, since it uses less digits than its factorization.

1020214334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168775 (or 168759 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1020214334000 its reverse (4334120201), we get a palindrome (1024548454201).

The spelling of 1020214334000 in words is "one trillion, twenty billion, two hundred fourteen million, three hundred thirty-four thousand".