434147972544 has 336 divisors, whose sum is σ = 1547963071200. Its totient is φ = 114296094720.

The previous prime is 434147972543. The next prime is 434147972623. The reversal of 434147972544 is 445279741434.

434147972544 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 4 + 7 + 97 + 2 + 544 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434147972543) 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 47 ways as a sum of consecutive naturals, for example, 1245232 + ... + 1555280.

It is an arithmetic number, because the mean of its divisors is an integer number (4607032950).

Almost surely, 2^434147972544 is an apocalyptic number.

434147972544 is a gapful number since it is divisible by the number (44) 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 434147972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773981535600).

434147972544 is an abundant number, since it is smaller than the sum of its proper divisors (1113815098656).

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

434147972544 is a wasteful number, since it uses less digits than its factorization.

434147972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310108 (or 310095 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 434147972544 in words is "four hundred thirty-four billion, one hundred forty-seven million, nine hundred seventy-two thousand, five hundred forty-four".