14266361340 has 288 divisors, whose sum is σ = 56299815936. Its totient is φ = 2835486720.

The previous prime is 14266361339. The next prime is 14266361377. The reversal of 14266361340 is 4316366241.

14266361340 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 636 + 13 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14266361295 and 14266361304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296404 + ... + 341156.

It is an arithmetic number, because the mean of its divisors is an integer number (195485472).

Almost surely, 2^14266361340 is an apocalyptic number.

14266361340 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 14266361340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28149907968).

14266361340 is an abundant number, since it is smaller than the sum of its proper divisors (42033454596).

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

14266361340 is a wasteful number, since it uses less digits than its factorization.

14266361340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44809 (or 44804 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 14266361340 in words is "fourteen billion, two hundred sixty-six million, three hundred sixty-one thousand, three hundred forty".