1414944340 has 48 divisors (see below), whose sum is σ = 3158607312. Its totient is φ = 530579456.

The previous prime is 1414944331. The next prime is 1414944347. The reversal of 1414944340 is 434494141.

1414944340 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 8 ways, for example, as 638876176 + 776068164 = 25276^2 + 27858^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 1414944296 and 1414944305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414944347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79284 + ... + 95476.

It is an arithmetic number, because the mean of its divisors is an integer number (65804319).

Almost surely, 2^1414944340 is an apocalyptic number.

1414944340 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 1414944340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579303656).

1414944340 is an abundant number, since it is smaller than the sum of its proper divisors (1743662972).

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

1414944340 is a wasteful number, since it uses less digits than its factorization.

1414944340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16476 (or 16474 counting only the distinct ones).

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

The square root of 1414944340 is about 37615.7459051392. The cubic root of 1414944340 is about 1122.6553545459.

The spelling of 1414944340 in words is "one billion, four hundred fourteen million, nine hundred forty-four thousand, three hundred forty".