434320122240 has 96 divisors (see below), whose sum is σ = 1499761692000. Its totient is φ = 115818697728.

The previous prime is 434320122169. The next prime is 434320122287. The reversal of 434320122240 is 42221023434.

434320122240 is a `hidden beast` number, since 4 + 3 + 432 + 0 + 1 + 2 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37695640 + ... + 37707159.

It is an arithmetic number, because the mean of its divisors is an integer number (15622517625).

Almost surely, 2^434320122240 is an apocalyptic number.

434320122240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434320122240 is an abundant number, since it is smaller than the sum of its proper divisors (1065441569760).

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

434320122240 is a wasteful number, since it uses less digits than its factorization.

434320122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75402824 (or 75402809 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 434320122240 its reverse (42221023434), we get a palindrome (476541145674).

The spelling of 434320122240 in words is "four hundred thirty-four billion, three hundred twenty million, one hundred twenty-two thousand, two hundred forty".