430100114240 has 56 divisors (see below), whose sum is σ = 1084421551752. Its totient is φ = 161920040960.

The previous prime is 430100114239. The next prime is 430100114303. The reversal of 430100114240 is 42411001034.

It can be written as a sum of positive squares in 4 ways, for example, as 163901903104 + 266198211136 = 404848^2 + 515944^2 .

It is a super-2 number, since 2×430100114240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 39525821 + ... + 39536700.

It is an arithmetic number, because the mean of its divisors is an integer number (19364670567).

Almost surely, 2^430100114240 is an apocalyptic number.

430100114240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

430100114240 is an abundant number, since it is smaller than the sum of its proper divisors (654321437512).

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

430100114240 is a wasteful number, since it uses less digits than its factorization.

430100114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79062555 (or 79062545 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 430100114240 its reverse (42411001034), we get a palindrome (472511115274).

The spelling of 430100114240 in words is "four hundred thirty billion, one hundred million, one hundred fourteen thousand, two hundred forty".