1642089438720 has 400 divisors, whose sum is σ = 6024926598768. Its totient is φ = 427208048640.

The previous prime is 1642089438697. The next prime is 1642089438757. The reversal of 1642089438720 is 278349802461.

1642089438720 is a `hidden beast` number, since 1 + 6 + 420 + 89 + 43 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 8405187 + ... + 8598333.

Almost surely, 2^{1642089438720} is an apocalyptic number.

1642089438720 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 1642089438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3012463299384).

1642089438720 is an abundant number, since it is smaller than the sum of its proper divisors (4382837160048).

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

1642089438720 is an equidigital number, since it uses as much as digits as its factorization.

1642089438720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193223 (or 193198 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1642089438720 in words is "one trillion, six hundred forty-two billion, eighty-nine million, four hundred thirty-eight thousand, seven hundred twenty".