431465042302440 has 128 divisors (see below), whose sum is σ = 1306763915506560. Its totient is φ = 113958343885824.

The previous prime is 431465042302321. The next prime is 431465042302523. The reversal of 431465042302440 is 44203240564134.

It is a junction number, because it is equal to n+sod(n) for n = 431465042302392 and 431465042302401.

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, 58308042 + ... + 65289798.

It is an arithmetic number, because the mean of its divisors is an integer number (10209093089895).

Almost surely, 2^{431465042302440} is an apocalyptic number.

431465042302440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431465042302440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653381957753280).

431465042302440 is an abundant number, since it is smaller than the sum of its proper divisors (875298873204120).

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

431465042302440 is a wasteful number, since it uses less digits than its factorization.

431465042302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6986691 (or 6986687 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

Adding to 431465042302440 its reverse (44203240564134), we get a palindrome (475668282866574).

The spelling of 431465042302440 in words is "four hundred thirty-one trillion, four hundred sixty-five billion, forty-two million, three hundred two thousand, four hundred forty".