1042664620032 has 192 divisors, whose sum is σ = 3442402557360. Its totient is φ = 297903587328.

The previous prime is 1042664620021. The next prime is 1042664620033. The reversal of 1042664620032 is 2300264662401.

1042664620032 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 6 + 646 + 2 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042664620033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1811848 + ... + 2316920.

Almost surely, 2^{1042664620032} is an apocalyptic number.

1042664620032 is a gapful number since it is divisible by the number (12) 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 1042664620032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721201278680).

1042664620032 is an abundant number, since it is smaller than the sum of its proper divisors (2399737937328).

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

1042664620032 is an frugal number, since it uses more digits than its factorization.

1042664620032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505116 (or 505085 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 1042664620032 in words is "one trillion, forty-two billion, six hundred sixty-four million, six hundred twenty thousand, thirty-two".