434211225120 has 144 divisors (see below), whose sum is σ = 1483839204120. Its totient is φ = 115626074112.

The previous prime is 434211225083. The next prime is 434211225157. The reversal of 434211225120 is 21522112434.

434211225120 is a `hidden beast` number, since 4 + 3 + 4 + 21 + 122 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (434211225083) and next prime (434211225157).

It can be written as a sum of positive squares in 4 ways, for example, as 375970090896 + 58241134224 = 613164^2 + 241332^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×434211225120² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808312 + ... + 1233608.

Almost surely, 2^434211225120 is an apocalyptic number.

434211225120 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 434211225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741919602060).

434211225120 is an abundant number, since it is smaller than the sum of its proper divisors (1049627979000).

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

434211225120 is a wasteful number, since it uses less digits than its factorization.

434211225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426027 (or 426016 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 434211225120 its reverse (21522112434), we get a palindrome (455733337554).

The spelling of 434211225120 in words is "four hundred thirty-four billion, two hundred eleven million, two hundred twenty-five thousand, one hundred twenty".