20427408000 has 384 divisors, whose sum is σ = 75088728000. Its totient is φ = 5319014400.

The previous prime is 20427407999. The next prime is 20427408031. The reversal of 20427408000 is 80472402.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6190351 + ... + 6193649.

Almost surely, 2^20427408000 is an apocalyptic number.

20427408000 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 20427408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37544364000).

20427408000 is an abundant number, since it is smaller than the sum of its proper divisors (54661320000).

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

20427408000 is a wasteful number, since it uses less digits than its factorization.

20427408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3377 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 20427408000 in words is "twenty billion, four hundred twenty-seven million, four hundred eight thousand".