1014014000 has 80 divisors (see below), whose sum is σ = 2536578720. Its totient is φ = 391596800.

The previous prime is 1014013981. The next prime is 1014014017. The reversal of 1014014000 is 4104101.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49259 + ... + 66741.

It is an arithmetic number, because the mean of its divisors is an integer number (31707234).

Almost surely, 2^1014014000 is an apocalyptic number.

1014014000 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 1014014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1268289360).

1014014000 is an abundant number, since it is smaller than the sum of its proper divisors (1522564720).

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

1014014000 is a wasteful number, since it uses less digits than its factorization.

1014014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17535 (or 17519 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 1014014000 is about 31843.5864814251. The cubic root of 1014014000 is about 1004.6496802985.

Adding to 1014014000 its reverse (4104101), we get a palindrome (1018118101).

The spelling of 1014014000 in words is "one billion, fourteen million, fourteen thousand".