434466450000 has 960 divisors, whose sum is σ = 1801527194880. Its totient is φ = 99072000000.

The previous prime is 434466449969. The next prime is 434466450023. The reversal of 434466450000 is 54664434.

434466450000 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 6 + 645 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×434466450000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 252449140 + ... + 252450860.

It is an arithmetic number, because the mean of its divisors is an integer number (1876590828).

Almost surely, 2^434466450000 is an apocalyptic number.

434466450000 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 434466450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900763597440).

434466450000 is an abundant number, since it is smaller than the sum of its proper divisors (1367060744880).

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

434466450000 is a wasteful number, since it uses less digits than its factorization.

434466450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 434466450000 in words is "four hundred thirty-four billion, four hundred sixty-six million, four hundred fifty thousand".