14268493674240 has 576 divisors, whose sum is σ = 49574047057920. Its totient is φ = 3476693975040.

The previous prime is 14268493674233. The next prime is 14268493674257. The reversal of 14268493674240 is 4247639486241.

14268493674240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2831609641 + ... + 2831614679.

It is an arithmetic number, because the mean of its divisors is an integer number (86066053920).

Almost surely, 2^{14268493674240} is an apocalyptic number.

14268493674240 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 14268493674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24787023528960).

14268493674240 is an abundant number, since it is smaller than the sum of its proper divisors (35305553383680).

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

14268493674240 is a wasteful number, since it uses less digits than its factorization.

14268493674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5626 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 14268493674240 in words is "fourteen trillion, two hundred sixty-eight billion, four hundred ninety-three million, six hundred seventy-four thousand, two hundred forty".