1314109440 has 576 divisors, whose sum is σ = 5489920800. Its totient is φ = 297271296.

The previous prime is 1314109411. The next prime is 1314109453. The reversal of 1314109440 is 449014131.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1314109440² = 3453767240594227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13547472 + ... + 13547568.

Almost surely, 2^1314109440 is an apocalyptic number.

1314109440 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 1314109440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2744960400).

1314109440 is an abundant number, since it is smaller than the sum of its proper divisors (4175811360).

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

1314109440 is an equidigital number, since it uses as much as digits as its factorization.

1314109440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1314109440 is about 36250.6474424940. The cubic root of 1314109440 is about 1095.3271306332.

The spelling of 1314109440 in words is "one billion, three hundred fourteen million, one hundred nine thousand, four hundred forty".