200415514002 has 32 divisors (see below), whose sum is σ = 440884033344. Its totient is φ = 60731971520.

The previous prime is 200415513983. The next prime is 200415514003.

200415514002 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (200415514003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12539943 + ... + 12555914.

It is an arithmetic number, because the mean of its divisors is an integer number (13777626042).

Almost surely, 2^200415514002 is an apocalyptic number.

200415514002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200415514002 is an abundant number, since it is smaller than the sum of its proper divisors (240468519342).

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

200415514002 is a wasteful number, since it uses less digits than its factorization.

200415514002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25095895 (or 25095873 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

It can be divided in two parts, 200415 and 514002, that added together give a palindrome (714417).

The spelling of 200415514002 in words is "two hundred billion, four hundred fifteen million, five hundred fourteen thousand, two".