14212794435840 has 4320 divisors, whose sum is σ = 72674260404480. Its totient is φ = 2565769789440.

The previous prime is 14212794435793. The next prime is 14212794435859. The reversal of 14212794435840 is 4853449721241.

It is a happy number.

14212794435840 is a `hidden beast` number, since 1 + 4 + 2 + 12 + 7 + 9 + 4 + 43 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 836046731512 + ... + 836046731528.

It is an arithmetic number, because the mean of its divisors is an integer number (16822745464).

Almost surely, 2^{14212794435840} is an apocalyptic number.

14212794435840 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 14212794435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36337130202240).

14212794435840 is an abundant number, since it is smaller than the sum of its proper divisors (58461465968640).

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

14212794435840 is an equidigital number, since it uses as much as digits as its factorization.

14212794435840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 14212794435840 in words is "fourteen trillion, two hundred twelve billion, seven hundred ninety-four million, four hundred thirty-five thousand, eight hundred forty".