1042028064000 has 2880 divisors, whose sum is σ = 5066968338432. Its totient is φ = 206198784000.

The previous prime is 1042028063941. The next prime is 1042028064001. The reversal of 1042028064000 is 4608202401.

1042028064000 is a `hidden beast` number, since 10 + 4 + 2 + 0 + 2 + 8 + 0 + 640 + 0 + 0 = 666.

1042028064000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042028064001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4590431887 + ... + 4590432113.

Almost surely, 2^{1042028064000} is an apocalyptic number.

1042028064000 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 1042028064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533484169216).

1042028064000 is an abundant number, since it is smaller than the sum of its proper divisors (4024940274432).

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

1042028064000 is a wasteful number, since it uses less digits than its factorization.

1042028064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 1042028064000 in words is "one trillion, forty-two billion, twenty-eight million, sixty-four thousand".