431401120020 has 192 divisors, whose sum is σ = 1455779808000. Its totient is φ = 105426842112.

The previous prime is 431401120013. The next prime is 431401120021. The reversal of 431401120020 is 20021104134.

431401120020 is a `hidden beast` number, since 43 + 1 + 401 + 1 + 200 + 20 = 666.

It is a super-2 number, since 2×431401120020² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 431401119975 and 431401120002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431401120021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 754726 + ... + 1196834.

It is an arithmetic number, because the mean of its divisors is an integer number (7582186500).

Almost surely, 2^431401120020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431401120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727889904000).

431401120020 is an abundant number, since it is smaller than the sum of its proper divisors (1024378687980).

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

431401120020 is a wasteful number, since it uses less digits than its factorization.

431401120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442279 (or 442271 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 431401120020 its reverse (20021104134), we get a palindrome (451422224154).

The spelling of 431401120020 in words is "four hundred thirty-one billion, four hundred one million, one hundred twenty thousand, twenty".