203114414000 has 80 divisors (see below), whose sum is σ = 492098012640. Its totient is φ = 81085740800.

The previous prime is 203114413993. The next prime is 203114414021. The reversal of 203114414000 is 414411302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 918239 + ... + 1117761.

It is an arithmetic number, because the mean of its divisors is an integer number (6151225158).

Almost surely, 2^203114414000 is an apocalyptic number.

203114414000 is a gapful number since it is divisible by the number (20) 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 203114414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246049006320).

203114414000 is an abundant number, since it is smaller than the sum of its proper divisors (288983598640).

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

203114414000 is a wasteful number, since it uses less digits than its factorization.

203114414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200055 (or 200039 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 203114414000 its reverse (414411302), we get a palindrome (203528825302).

The spelling of 203114414000 in words is "two hundred three billion, one hundred fourteen million, four hundred fourteen thousand".