514429088000 has 144 divisors (see below), whose sum is σ = 1282534780800. Its totient is φ = 205606656000.

The previous prime is 514429087981. The next prime is 514429088003. The reversal of 514429088000 is 880924415.

It is not an unprimeable number, because it can be changed into a prime (514429088003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 44762255 + ... + 44773745.

Almost surely, 2^514429088000 is an apocalyptic number.

514429088000 is a gapful number since it is divisible by the number (50) 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 514429088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641267390400).

514429088000 is an abundant number, since it is smaller than the sum of its proper divisors (768105692800).

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

514429088000 is a wasteful number, since it uses less digits than its factorization.

514429088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12921 (or 12897 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The spelling of 514429088000 in words is "five hundred fourteen billion, four hundred twenty-nine million, eighty-eight thousand".