514577470000 has 400 divisors, whose sum is σ = 1412738578944. Its totient is φ = 179872000000.

The previous prime is 514577469979. The next prime is 514577470009. The reversal of 514577470000 is 74775415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (514577470009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 320209197 + ... + 320210803.

Almost surely, 2^514577470000 is an apocalyptic number.

514577470000 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 514577470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706369289472).

514577470000 is an abundant number, since it is smaller than the sum of its proper divisors (898161108944).

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

514577470000 is a wasteful number, since it uses less digits than its factorization.

514577470000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 137200, while the sum is 40.

The spelling of 514577470000 in words is "five hundred fourteen billion, five hundred seventy-seven million, four hundred seventy thousand".