434442311240 has 128 divisors (see below), whose sum is σ = 1123686432000. Its totient is φ = 148079662080.

The previous prime is 434442311213. The next prime is 434442311269. The reversal of 434442311240 is 42113244434.

It is a junction number, because it is equal to n+sod(n) for n = 434442311197 and 434442311206.

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, 99892586 + ... + 99896934.

It is an arithmetic number, because the mean of its divisors is an integer number (8778800250).

Almost surely, 2^434442311240 is an apocalyptic number.

434442311240 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 434442311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561843216000).

434442311240 is an abundant number, since it is smaller than the sum of its proper divisors (689244120760).

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

434442311240 is a wasteful number, since it uses less digits than its factorization.

434442311240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6375 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 434442311240 its reverse (42113244434), we get a palindrome (476555555674).

The spelling of 434442311240 in words is "four hundred thirty-four billion, four hundred forty-two million, three hundred eleven thousand, two hundred forty".