434560642400 has 72 divisors (see below), whose sum is σ = 1060993732680. Its totient is φ = 173804175360.

The previous prime is 434560642391. The next prime is 434560642441. The reversal of 434560642400 is 4246065434.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 8269007 + ... + 8321393.

It is an arithmetic number, because the mean of its divisors is an integer number (14736024065).

Almost surely, 2^434560642400 is an apocalyptic number.

434560642400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

434560642400 is an abundant number, since it is smaller than the sum of its proper divisors (626433090280).

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

434560642400 is a wasteful number, since it uses less digits than its factorization.

434560642400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62776 (or 62763 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

The spelling of 434560642400 in words is "four hundred thirty-four billion, five hundred sixty million, six hundred forty-two thousand, four hundred".