1014036480 has 144 divisors (see below), whose sum is σ = 3514787640. Its totient is φ = 270385152.

The previous prime is 1014036469. The next prime is 1014036493. The reversal of 1014036480 is 846304101.

1014036480 is a `hidden beast` number, since 1 + 0 + 14 + 0 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86659 + ... + 97661.

Almost surely, 2^1014036480 is an apocalyptic number.

1014036480 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 1014036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757393820).

1014036480 is an abundant number, since it is smaller than the sum of its proper divisors (2500751160).

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

1014036480 is a wasteful number, since it uses less digits than its factorization.

1014036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11036 (or 11013 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1014036480 is about 31843.9394547848. The cubic root of 1014036480 is about 1004.6571043768.

The spelling of 1014036480 in words is "one billion, fourteen million, thirty-six thousand, four hundred eighty".