1072066204000 has 384 divisors, whose sum is σ = 2923959886848. Its totient is φ = 383040000000.

The previous prime is 1072066203997. The next prime is 1072066204009. The reversal of 1072066204000 is 4026602701.

It is a super-2 number, since 2×1072066204000² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1072066204000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072066204009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1783803700 + ... + 1783804300.

It is an arithmetic number, because the mean of its divisors is an integer number (7614478872).

Almost surely, 2^{1072066204000} is an apocalyptic number.

1072066204000 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 1072066204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461979943424).

1072066204000 is an abundant number, since it is smaller than the sum of its proper divisors (1851893682848).

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

1072066204000 is a wasteful number, since it uses less digits than its factorization.

1072066204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The spelling of 1072066204000 in words is "one trillion, seventy-two billion, sixty-six million, two hundred four thousand".