434055504000 has 256 divisors, whose sum is σ = 1462492287360. Its totient is φ = 113849856000.

The previous prime is 434055503977. The next prime is 434055504007. The reversal of 434055504000 is 405550434.

It is a super-3 number, since 3×434055504000³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (434055504007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2853879 + ... + 3002121.

Almost surely, 2^434055504000 is an apocalyptic number.

434055504000 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 434055504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731246143680).

434055504000 is an abundant number, since it is smaller than the sum of its proper divisors (1028436783360).

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

434055504000 is a wasteful number, since it uses less digits than its factorization.

434055504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148336 (or 148314 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The spelling of 434055504000 in words is "four hundred thirty-four billion, fifty-five million, five hundred four thousand".