434641278240 has 768 divisors, whose sum is σ = 1727613619200. Its totient is φ = 101252726784.

The previous prime is 434641278223. The next prime is 434641278241. The reversal of 434641278240 is 42872146434.

434641278240 is a `hidden beast` number, since 4 + 346 + 41 + 27 + 8 + 240 = 666.

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 (434641278241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125291226 + ... + 125294694.

It is an arithmetic number, because the mean of its divisors is an integer number (2249496900).

Almost surely, 2^434641278240 is an apocalyptic number.

434641278240 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 434641278240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863806809600).

434641278240 is an abundant number, since it is smaller than the sum of its proper divisors (1292972340960).

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

434641278240 is a wasteful number, since it uses less digits than its factorization.

434641278240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 434641278240 in words is "four hundred thirty-four billion, six hundred forty-one million, two hundred seventy-eight thousand, two hundred forty".