1014034120 has 128 divisors (see below), whose sum is σ = 2626525440. Its totient is φ = 348733440.

The previous prime is 1014034117. The next prime is 1014034183. The reversal of 1014034120 is 214304101.

It is a junction number, because it is equal to n+sod(n) for n = 1014034094 and 1014034103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981124 + ... + 982156.

It is an arithmetic number, because the mean of its divisors is an integer number (20519730).

Almost surely, 2^1014034120 is an apocalyptic number.

1014034120 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 1014034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313262720).

1014034120 is an abundant number, since it is smaller than the sum of its proper divisors (1612491320).

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

1014034120 is a wasteful number, since it uses less digits than its factorization.

1014034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1014034120 is about 31843.9023990465. The cubic root of 1014034120 is about 1004.6563249858.

Adding to 1014034120 its reverse (214304101), we get a palindrome (1228338221).

The spelling of 1014034120 in words is "one billion, fourteen million, thirty-four thousand, one hundred twenty".