20427085440 has 768 divisors, whose sum is σ = 79840051200. Its totient is φ = 4971663360.

The previous prime is 20427085423. The next prime is 20427085463. The reversal of 20427085440 is 4458072402.

20427085440 is a `hidden beast` number, since 2 + 0 + 42 + 70 + 8 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20427085395 and 20427085404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 91601169 + ... + 91601391.

It is an arithmetic number, because the mean of its divisors is an integer number (103958400).

Almost surely, 2^20427085440 is an apocalyptic number.

20427085440 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 20427085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39920025600).

20427085440 is an abundant number, since it is smaller than the sum of its proper divisors (59412965760).

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

20427085440 is a wasteful number, since it uses less digits than its factorization.

20427085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 20427085440 in words is "twenty billion, four hundred twenty-seven million, eighty-five thousand, four hundred forty".