1014466310440 has 128 divisors (see below), whose sum is σ = 2525528678400. Its totient is φ = 363673509120.

The previous prime is 1014466310437. The next prime is 1014466310441. The reversal of 1014466310440 is 440136644101.

1014466310440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1014466310396 and 1014466310405.

It is not an unprimeable number, because it can be changed into a prime (1014466310441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10056171 + ... + 10156549.

It is an arithmetic number, because the mean of its divisors is an integer number (19730692800).

Almost surely, 2^{1014466310440} is an apocalyptic number.

1014466310440 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 1014466310440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262764339200).

1014466310440 is an abundant number, since it is smaller than the sum of its proper divisors (1511062367960).

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

1014466310440 is a wasteful number, since it uses less digits than its factorization.

1014466310440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100727 (or 100723 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 1014466310440 in words is "one trillion, fourteen billion, four hundred sixty-six million, three hundred ten thousand, four hundred forty".