420431050305440 has 48 divisors (see below), whose sum is σ = 993270344019912. Its totient is φ = 168172083585024.

The previous prime is 420431050305419. The next prime is 420431050305517. The reversal of 420431050305440 is 44503050134024.

It can be written as a sum of positive squares in 4 ways, for example, as 228870059916304 + 191560990389136 = 15128452^2 + 13840556^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 420431050305440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87118712 + ... + 91817928.

Almost surely, 2^{420431050305440} is an apocalyptic number.

420431050305440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420431050305440 is an abundant number, since it is smaller than the sum of its proper divisors (572839293714472).

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

420431050305440 is a wasteful number, since it uses less digits than its factorization.

420431050305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5258409 (or 5258401 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 420431050305440 in words is "four hundred twenty trillion, four hundred thirty-one billion, fifty million, three hundred five thousand, four hundred forty".