434132522240 has 72 divisors (see below), whose sum is σ = 1042599333888. Its totient is φ = 173199411200.

The previous prime is 434132522233. The next prime is 434132522279. The reversal of 434132522240 is 42225231434.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 434132522197 and 434132522206.

It is a congruent number.

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, 47465 + ... + 933015.

It is an arithmetic number, because the mean of its divisors is an integer number (14480546304).

Almost surely, 2^434132522240 is an apocalyptic number.

434132522240 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 434132522240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521299666944).

434132522240 is an abundant number, since it is smaller than the sum of its proper divisors (608466811648).

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

434132522240 is an equidigital number, since it uses as much as digits as its factorization.

434132522240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885955 (or 885941 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 434132522240 its reverse (42225231434), we get a palindrome (476357753674).

The spelling of 434132522240 in words is "four hundred thirty-four billion, one hundred thirty-two million, five hundred twenty-two thousand, two hundred forty".