434638916000 has 192 divisors, whose sum is σ = 1085699946240. Its totient is φ = 170968089600.

The previous prime is 434638915993. The next prime is 434638916027. The reversal of 434638916000 is 619836434.

It is a super-4 number, since 4×434638916000⁴ (a number of 48 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 224851034 + ... + 224852966.

It is an arithmetic number, because the mean of its divisors is an integer number (5654687220).

Almost surely, 2^434638916000 is an apocalyptic number.

434638916000 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 434638916000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542849973120).

434638916000 is an abundant number, since it is smaller than the sum of its proper divisors (651061030240).

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

434638916000 is a wasteful number, since it uses less digits than its factorization.

434638916000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2864 (or 2846 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The spelling of 434638916000 in words is "four hundred thirty-four billion, six hundred thirty-eight million, nine hundred sixteen thousand".