434541012000 has 384 divisors, whose sum is σ = 1555940026368. Its totient is φ = 105541632000.

The previous prime is 434541011941. The next prime is 434541012011. The reversal of 434541012000 is 210145434.

It is a super-2 number, since 2×434541012000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6289644 + ... + 6358356.

It is an arithmetic number, because the mean of its divisors is an integer number (4051927152).

Almost surely, 2^434541012000 is an apocalyptic number.

434541012000 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 434541012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777970013184).

434541012000 is an abundant number, since it is smaller than the sum of its proper divisors (1121399014368).

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

434541012000 is a wasteful number, since it uses less digits than its factorization.

434541012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68789 (or 68771 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 434541012000 its reverse (210145434), we get a palindrome (434751157434).

The spelling of 434541012000 in words is "four hundred thirty-four billion, five hundred forty-one million, twelve thousand".