20642440049280 has 4096 divisors, whose sum is σ = 95068569600000. Its totient is φ = 4266493378560.

The previous prime is 20642440049279. The next prime is 20642440049291. The reversal of 20642440049280 is 8294004424602.

20642440049280 is a `hidden beast` number, since 2 + 0 + 6 + 42 + 4 + 40 + 0 + 492 + 80 = 666.

It is a super-2 number, since 2×20642440049280² (a number of 27 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 511 ways as a sum of consecutive naturals, for example, 282773151324 + ... + 282773151396.

It is an arithmetic number, because the mean of its divisors is an integer number (23210100000).

Almost surely, 2^{20642440049280} is an apocalyptic number.

20642440049280 is a gapful number since it is divisible by the number (20) 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 20642440049280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47534284800000).

20642440049280 is an abundant number, since it is smaller than the sum of its proper divisors (74426129550720).

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

20642440049280 is an frugal number, since it uses more digits than its factorization.

20642440049280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 20642440049280 in words is "twenty trillion, six hundred forty-two billion, four hundred forty million, forty-nine thousand, two hundred eighty".