434856453120 has 1408 divisors, whose sum is σ = 1738612408320. Its totient is φ = 102558597120.

The previous prime is 434856453113. The next prime is 434856453131. The reversal of 434856453120 is 21354658434.

434856453120 is a `hidden beast` number, since 4 + 3 + 48 + 56 + 4 + 531 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 127 ways as a sum of consecutive naturals, for example, 3424066497 + ... + 3424066623.

Almost surely, 2^434856453120 is an apocalyptic number.

434856453120 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 434856453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869306204160).

434856453120 is an abundant number, since it is smaller than the sum of its proper divisors (1303755955200).

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

434856453120 is a wasteful number, since it uses less digits than its factorization.

434856453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 434856453120 in words is "four hundred thirty-four billion, eight hundred fifty-six million, four hundred fifty-three thousand, one hundred twenty".