1014200240 has 80 divisors (see below), whose sum is σ = 2512339200. Its totient is φ = 379650816.

The previous prime is 1014200227. The next prime is 1014200251. The reversal of 1014200240 is 420024101.

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

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, 122141 + ... + 130179.

It is an arithmetic number, because the mean of its divisors is an integer number (31404240).

Almost surely, 2^1014200240 is an apocalyptic number.

1014200240 is a gapful number since it is divisible by the number (10) 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 1014200240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256169600).

1014200240 is an abundant number, since it is smaller than the sum of its proper divisors (1498138960).

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

1014200240 is a wasteful number, since it uses less digits than its factorization.

1014200240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8154 (or 8148 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1014200240 is about 31846.5106408850. The cubic root of 1014200240 is about 1004.7111832306.

Adding to 1014200240 its reverse (420024101), we get a palindrome (1434224341).

The spelling of 1014200240 in words is "one billion, fourteen million, two hundred thousand, two hundred forty".