434738610540 has 336 divisors, whose sum is σ = 1478430273600. Its totient is φ = 106697793024.

The previous prime is 434738610539. The next prime is 434738610541. The reversal of 434738610540 is 45016837434.

434738610540 is a `hidden beast` number, since 4 + 3 + 47 + 3 + 8 + 61 + 0 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (434738610539) and next prime (434738610541).

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

It is not an unprimeable number, because it can be changed into a prime (434738610541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 68041666 + ... + 68048054.

It is an arithmetic number, because the mean of its divisors is an integer number (4400090100).

Almost surely, 2^434738610540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 434738610540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739215136800).

434738610540 is an abundant number, since it is smaller than the sum of its proper divisors (1043691663060).

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

434738610540 is a wasteful number, since it uses less digits than its factorization.

434738610540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6788 (or 6771 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 434738610540 in words is "four hundred thirty-four billion, seven hundred thirty-eight million, six hundred ten thousand, five hundred forty".