434856217740 has 192 divisors, whose sum is σ = 1400556917760. Its totient is φ = 98752711680.

The previous prime is 434856217717. The next prime is 434856217793. The reversal of 434856217740 is 47712658434.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108630579 + ... + 108634581.

It is an arithmetic number, because the mean of its divisors is an integer number (7294567280).

Almost surely, 2^434856217740 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 434856217740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700278458880).

434856217740 is an abundant number, since it is smaller than the sum of its proper divisors (965700700020).

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

434856217740 is a wasteful number, since it uses less digits than its factorization.

434856217740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 434856217740 in words is "four hundred thirty-four billion, eight hundred fifty-six million, two hundred seventeen thousand, seven hundred forty".