434321107920 has 960 divisors, whose sum is σ = 1891193241600. Its totient is φ = 91001594880.

The previous prime is 434321107859. The next prime is 434321107921. The reversal of 434321107920 is 29701123434.

It is a happy number.

434321107920 is a `hidden beast` number, since 43 + 432 + 110 + 79 + 2 + 0 = 666.

434321107920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434321107921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 62336277 + ... + 62343243.

It is an arithmetic number, because the mean of its divisors is an integer number (1969992960).

Almost surely, 2^434321107920 is an apocalyptic number.

434321107920 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 434321107920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945596620800).

434321107920 is an abundant number, since it is smaller than the sum of its proper divisors (1456872133680).

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

434321107920 is a wasteful number, since it uses less digits than its factorization.

434321107920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7053 (or 7034 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 434321107920 in words is "four hundred thirty-four billion, three hundred twenty-one million, one hundred seven thousand, nine hundred twenty".