434405664000 has 1728 divisors, whose sum is σ = 2053382123520. Its totient is φ = 85432320000.

The previous prime is 434405663983. The next prime is 434405664083. The reversal of 434405664000 is 466504434.

434405664000 is a `hidden beast` number, since 4 + 3 + 4 + 4 + 0 + 5 + 6 + 640 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 421343485 + ... + 421344515.

It is an arithmetic number, because the mean of its divisors is an integer number (1188299840).

Almost surely, 2^434405664000 is an apocalyptic number.

434405664000 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 434405664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026691061760).

434405664000 is an abundant number, since it is smaller than the sum of its proper divisors (1618976459520).

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

434405664000 is a wasteful number, since it uses less digits than its factorization.

434405664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1078 counting only the distinct ones).

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

The spelling of 434405664000 in words is "four hundred thirty-four billion, four hundred five million, six hundred sixty-four thousand".