434411525130 has 128 divisors (see below), whose sum is σ = 1162035265536. Its totient is φ = 103050662400.

The previous prime is 434411525117. The next prime is 434411525137. The reversal of 434411525130 is 31525114434.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 434411525091 and 434411525100.

It is not an unprimeable number, because it can be changed into a prime (434411525137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2988435 + ... + 3130425.

It is an arithmetic number, because the mean of its divisors is an integer number (9078400512).

Almost surely, 2^434411525130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434411525130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581017632768).

434411525130 is an abundant number, since it is smaller than the sum of its proper divisors (727623740406).

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

434411525130 is a wasteful number, since it uses less digits than its factorization.

434411525130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142212.

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 434411525130 its reverse (31525114434), we get a palindrome (465936639564).

The spelling of 434411525130 in words is "four hundred thirty-four billion, four hundred eleven million, five hundred twenty-five thousand, one hundred thirty".