1642003561000 has 128 divisors (see below), whose sum is σ = 4233091000320. Its totient is φ = 591180000000.

The previous prime is 1642003560997. The next prime is 1642003561043. The reversal of 1642003561000 is 1653002461.

It is a self number, because there is not a number n which added to its sum of digits gives 1642003561000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372025 + ... + 1849975.

It is an arithmetic number, because the mean of its divisors is an integer number (33071023440).

Almost surely, 2^{1642003561000} is an apocalyptic number.

1642003561000 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 1642003561000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116545500160).

1642003561000 is an abundant number, since it is smaller than the sum of its proper divisors (2591087439320).

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

1642003561000 is a wasteful number, since it uses less digits than its factorization.

1642003561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1478084 (or 1478070 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 1642003561000 its reverse (1653002461), we get a palindrome (1643656563461).

The spelling of 1642003561000 in words is "one trillion, six hundred forty-two billion, three million, five hundred sixty-one thousand".