431240414443020 has 288 divisors, whose sum is σ = 1610002339440768. Its totient is φ = 90984833888256.

The previous prime is 431240414442941. The next prime is 431240414443021. The reversal of 431240414443020 is 20344414042134.

431240414443020 is a `hidden beast` number, since 4 + 3 + 124 + 0 + 41 + 44 + 430 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (431240414443021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 745934712 + ... + 746512608.

It is an arithmetic number, because the mean of its divisors is an integer number (5590285900836).

Almost surely, 2^{431240414443020} 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 431240414443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805001169720384).

431240414443020 is an abundant number, since it is smaller than the sum of its proper divisors (1178761924997748).

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

431240414443020 is a wasteful number, since it uses less digits than its factorization.

431240414443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623489 (or 623484 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 431240414443020 its reverse (20344414042134), we get a palindrome (451584828485154).

The spelling of 431240414443020 in words is "four hundred thirty-one trillion, two hundred forty billion, four hundred fourteen million, four hundred forty-three thousand, twenty".