4431254412420 has 288 divisors, whose sum is σ = 15575618822400. Its totient is φ = 1007820103680.

The previous prime is 4431254412419. The next prime is 4431254412421. The reversal of 4431254412420 is 242144521344.

4431254412420 is a `hidden beast` number, since 44 + 31 + 2 + 544 + 1 + 2 + 42 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4431254412419) and next prime (4431254412421).

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 (4431254412421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10325281 + ... + 10745879.

It is an arithmetic number, because the mean of its divisors is an integer number (54082009800).

Almost surely, 2^{4431254412420} 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 4431254412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7787809411200).

4431254412420 is an abundant number, since it is smaller than the sum of its proper divisors (11144364409980).

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

4431254412420 is a wasteful number, since it uses less digits than its factorization.

4431254412420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420955 (or 420950 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 4431254412420 its reverse (242144521344), we get a palindrome (4673398933764).

The spelling of 4431254412420 in words is "four trillion, four hundred thirty-one billion, two hundred fifty-four million, four hundred twelve thousand, four hundred twenty".