430031012201140 has 192 divisors, whose sum is σ = 1084934447460864. Its totient is φ = 140077430341632.

The previous prime is 430031012201137. The next prime is 430031012201209. The reversal of 430031012201140 is 41102210130034.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 769732944 + ... + 770291416.

It is an arithmetic number, because the mean of its divisors is an integer number (5650700247192).

Almost surely, 2^{430031012201140} 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 430031012201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542467223730432).

430031012201140 is an abundant number, since it is smaller than the sum of its proper divisors (654903435259724).

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

430031012201140 is a wasteful number, since it uses less digits than its factorization.

430031012201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562026 (or 562024 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 430031012201140 its reverse (41102210130034), we get a palindrome (471133222331174).

The spelling of 430031012201140 in words is "four hundred thirty trillion, thirty-one billion, twelve million, two hundred one thousand, one hundred forty".