20042407588320 has 1920 divisors, whose sum is σ = 81991182873600. Its totient is φ = 4569773801472.

The previous prime is 20042407588289. The next prime is 20042407588331. The reversal of 20042407588320 is 2388570424002.

20042407588320 is a `hidden beast` number, since 2 + 0 + 0 + 4 + 2 + 40 + 7 + 588 + 3 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 29344666699 + ... + 29344667381.

It is an arithmetic number, because the mean of its divisors is an integer number (42703741080).

Almost surely, 2^{20042407588320} is an apocalyptic number.

20042407588320 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 20042407588320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40995591436800).

20042407588320 is an abundant number, since it is smaller than the sum of its proper divisors (61948775285280).

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

20042407588320 is a wasteful number, since it uses less digits than its factorization.

20042407588320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 20042407588320 in words is "twenty trillion, forty-two billion, four hundred seven million, five hundred eighty-eight thousand, three hundred twenty".