434633472000 has 1536 divisors, whose sum is σ = 1980444211200. Its totient is φ = 91570176000.

The previous prime is 434633471983. The next prime is 434633472037. The reversal of 434633472000 is 274336434.

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 628991655 + ... + 628992345.

It is an arithmetic number, because the mean of its divisors is an integer number (1289351700).

Almost surely, 2^434633472000 is an apocalyptic number.

434633472000 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 434633472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990222105600).

434633472000 is an abundant number, since it is smaller than the sum of its proper divisors (1545810739200).

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

434633472000 is a wasteful number, since it uses less digits than its factorization.

434633472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 434633472000 in words is "four hundred thirty-four billion, six hundred thirty-three million, four hundred seventy-two thousand".