1642439082240 has 576 divisors, whose sum is σ = 6634710190080. Its totient is φ = 380853411840.

The previous prime is 1642439082227. The next prime is 1642439082259. The reversal of 1642439082240 is 422809342461.

1642439082240 is a `hidden beast` number, since 1 + 6 + 4 + 243 + 90 + 82 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1642439082240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8649759 + ... + 8837601.

It is an arithmetic number, because the mean of its divisors is an integer number (11518594080).

Almost surely, 2^{1642439082240} is an apocalyptic number.

1642439082240 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 1642439082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317355095040).

1642439082240 is an abundant number, since it is smaller than the sum of its proper divisors (4992271107840).

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

1642439082240 is a wasteful number, since it uses less digits than its factorization.

1642439082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187907 (or 187887 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 1642439082240 in words is "one trillion, six hundred forty-two billion, four hundred thirty-nine million, eighty-two thousand, two hundred forty".