434140162560 has 1280 divisors, whose sum is σ = 1781885952000. Its totient is φ = 99293921280.

The previous prime is 434140162553. The next prime is 434140162601. The reversal of 434140162560 is 65261041434.

434140162560 is a `hidden beast` number, since 4 + 3 + 41 + 40 + 16 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1007285545 + ... + 1007285975.

It is an arithmetic number, because the mean of its divisors is an integer number (1392098400).

Almost surely, 2^434140162560 is an apocalyptic number.

434140162560 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 434140162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890942976000).

434140162560 is an abundant number, since it is smaller than the sum of its proper divisors (1347745789440).

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

434140162560 is a wasteful number, since it uses less digits than its factorization.

434140162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 434140162560 in words is "four hundred thirty-four billion, one hundred forty million, one hundred sixty-two thousand, five hundred sixty".