431042441234440 has 128 divisors (see below), whose sum is σ = 1148673928377600. Its totient is φ = 142433734302720.

The previous prime is 431042441234417. The next prime is 431042441234491. The reversal of 431042441234440 is 44432144240134.

It is a super-2 number, since 2×431042441234440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 431042441234393 and 431042441234402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43128906 + ... + 52174585.

It is an arithmetic number, because the mean of its divisors is an integer number (8974015065450).

Almost surely, 2^{431042441234440} is an apocalyptic number.

431042441234440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431042441234440 is an abundant number, since it is smaller than the sum of its proper divisors (717631487143160).

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

431042441234440 is a wasteful number, since it uses less digits than its factorization.

431042441234440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95304095 (or 95304091 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 40.

Adding to 431042441234440 its reverse (44432144240134), we get a palindrome (475474585474574).

The spelling of 431042441234440 in words is "four hundred thirty-one trillion, forty-two billion, four hundred forty-one million, two hundred thirty-four thousand, four hundred forty".