20438681472 has 384 divisors, whose sum is σ = 66029389920. Its totient is φ = 6016204800.

The previous prime is 20438681453. The next prime is 20438681513. The reversal of 20438681472 is 27418683402.

It is a happy number.

20438681472 is a `hidden beast` number, since 20 + 4 + 3 + 86 + 81 + 472 = 666.

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

It is a congruent number.

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, 105899808 + ... + 105900000.

Almost surely, 2^20438681472 is an apocalyptic number.

20438681472 is a gapful number since it is divisible by the number (22) 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 20438681472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33014694960).

20438681472 is an abundant number, since it is smaller than the sum of its proper divisors (45590708448).

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

20438681472 is a wasteful number, since it uses less digits than its factorization.

20438681472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 20438681472 in words is "twenty billion, four hundred thirty-eight million, six hundred eighty-one thousand, four hundred seventy-two".