1014049120 has 144 divisors (see below), whose sum is σ = 2804599728. Its totient is φ = 345461760.

The previous prime is 1014049117. The next prime is 1014049147. The reversal of 1014049120 is 219404101.

It is a junction number, because it is equal to n+sod(n) for n = 1014049091 and 1014049100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1653934 + ... + 1654546.

It is an arithmetic number, because the mean of its divisors is an integer number (19476387).

Almost surely, 2^1014049120 is an apocalyptic number.

1014049120 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 1014049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402299864).

1014049120 is an abundant number, since it is smaller than the sum of its proper divisors (1790550608).

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

1014049120 is a wasteful number, since it uses less digits than its factorization.

1014049120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1014049120 is about 31844.1379220729. The cubic root of 1014049120 is about 1004.6612787213.

The spelling of 1014049120 in words is "one billion, fourteen million, forty-nine thousand, one hundred twenty".