1014112804320 has 864 divisors, whose sum is σ = 4433041581696. Its totient is φ = 208738252800.

The previous prime is 1014112804163. The next prime is 1014112804321. The reversal of 1014112804320 is 234082114101.

1014112804320 is a `hidden beast` number, since 1 + 0 + 141 + 12 + 80 + 432 + 0 = 666.

It is a super-2 number, since 2×1014112804320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014112804321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 83043015 + ... + 83055225.

It is an arithmetic number, because the mean of its divisors is an integer number (5130835164).

Almost surely, 2^{1014112804320} is an apocalyptic number.

1014112804320 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 1014112804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216520790848).

1014112804320 is an abundant number, since it is smaller than the sum of its proper divisors (3418928777376).

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

1014112804320 is a wasteful number, since it uses less digits than its factorization.

1014112804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12364 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 1014112804320 its reverse (234082114101), we get a palindrome (1248194918421).

The spelling of 1014112804320 in words is "one trillion, fourteen billion, one hundred twelve million, eight hundred four thousand, three hundred twenty".