20438607420 has 768 divisors, whose sum is σ = 85620326400. Its totient is φ = 3919104000.

The previous prime is 20438607419. The next prime is 20438607437. The reversal of 20438607420 is 2470683402.

20438607420 is a `hidden beast` number, since 2 + 0 + 4 + 3 + 8 + 607 + 42 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 32390505 + ... + 32391135.

It is an arithmetic number, because the mean of its divisors is an integer number (111484800).

Almost surely, 2^20438607420 is an apocalyptic number.

20438607420 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 20438607420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42810163200).

20438607420 is an abundant number, since it is smaller than the sum of its proper divisors (65181718980).

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

20438607420 is a wasteful number, since it uses less digits than its factorization.

20438607420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 727 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 20438607420 in words is "twenty billion, four hundred thirty-eight million, six hundred seven thousand, four hundred twenty".