434263118240 has 96 divisors (see below), whose sum is σ = 1175232167424. Its totient is φ = 148544593920.

The previous prime is 434263118227. The next prime is 434263118257. The reversal of 434263118240 is 42811362434.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 434263118194 and 434263118203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32912 + ... + 932528.

It is an arithmetic number, because the mean of its divisors is an integer number (12242001744).

Almost surely, 2^434263118240 is an apocalyptic number.

434263118240 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 434263118240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587616083712).

434263118240 is an abundant number, since it is smaller than the sum of its proper divisors (740969049184).

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

434263118240 is a wasteful number, since it uses less digits than its factorization.

434263118240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900070 (or 900062 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 434263118240 in words is "four hundred thirty-four billion, two hundred sixty-three million, one hundred eighteen thousand, two hundred forty".