20424201404040 has 192 divisors, whose sum is σ = 75908541346560. Its totient is φ = 4665482933760.

The previous prime is 20424201404003. The next prime is 20424201404053. The reversal of 20424201404040 is 4040410242402.

20424201404040 is a `hidden beast` number, since 2 + 0 + 4 + 242 + 0 + 14 + 0 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20424201403995 and 20424201404013.

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, 1527910 + ... + 6571370.

It is an arithmetic number, because the mean of its divisors is an integer number (395356986180).

Almost surely, 2^{20424201404040} is an apocalyptic number.

20424201404040 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 20424201404040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37954270673280).

20424201404040 is an abundant number, since it is smaller than the sum of its proper divisors (55484339942520).

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

20424201404040 is a wasteful number, since it uses less digits than its factorization.

20424201404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045092 (or 5045085 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 20424201404040 its reverse (4040410242402), we get a palindrome (24464611646442).

The spelling of 20424201404040 in words is "twenty trillion, four hundred twenty-four billion, two hundred one million, four hundred four thousand, forty".