431200004240 has 40 divisors (see below), whose sum is σ = 1009268494200. Its totient is φ = 171322413056.

The previous prime is 431200004201. The next prime is 431200004299. The reversal of 431200004240 is 42400002134.

It can be written as a sum of positive squares in 4 ways, for example, as 3865854976 + 427334149264 = 62176^2 + 653708^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18075329 + ... + 18099168.

It is an arithmetic number, because the mean of its divisors is an integer number (25231712355).

Almost surely, 2^431200004240 is an apocalyptic number.

431200004240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431200004240 is an abundant number, since it is smaller than the sum of its proper divisors (578068489960).

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

431200004240 is a wasteful number, since it uses less digits than its factorization.

431200004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36174659 (or 36174653 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 431200004240 its reverse (42400002134), we get a palindrome (473600006374).

The spelling of 431200004240 in words is "four hundred thirty-one billion, two hundred million, four thousand, two hundred forty".