434753120340 has 1152 divisors, whose sum is σ = 1811601469440. Its totient is φ = 85421952000.

The previous prime is 434753120323. The next prime is 434753120359. The reversal of 434753120340 is 43021357434.

434753120340 is a `hidden beast` number, since 43 + 47 + 531 + 2 + 0 + 3 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 434753120295 and 434753120304.

It is a congruent number.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 676132059 + ... + 676132701.

It is an arithmetic number, because the mean of its divisors is an integer number (1572570720).

Almost surely, 2^434753120340 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 434753120340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905800734720).

434753120340 is an abundant number, since it is smaller than the sum of its proper divisors (1376848349100).

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

434753120340 is a wasteful number, since it uses less digits than its factorization.

434753120340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 434753120340 its reverse (43021357434), we get a palindrome (477774477774).

The spelling of 434753120340 in words is "four hundred thirty-four billion, seven hundred fifty-three million, one hundred twenty thousand, three hundred forty".