434014012120 has 256 divisors, whose sum is σ = 1107451699200. Its totient is φ = 151884564480.

The previous prime is 434014012111. The next prime is 434014012127. The reversal of 434014012120 is 21210410434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434014012091 and 434014012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434014012127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1163576254 + ... + 1163576626.

It is an arithmetic number, because the mean of its divisors is an integer number (4325983200).

Almost surely, 2^434014012120 is an apocalyptic number.

434014012120 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 434014012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553725849600).

434014012120 is an abundant number, since it is smaller than the sum of its proper divisors (673437687080).

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

434014012120 is a wasteful number, since it uses less digits than its factorization.

434014012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 434014012120 its reverse (21210410434), we get a palindrome (455224422554).

The spelling of 434014012120 in words is "four hundred thirty-four billion, fourteen million, twelve thousand, one hundred twenty".