1426792216320 has 360 divisors, whose sum is σ = 5108076555120. Its totient is φ = 380272803840.

The previous prime is 1426792216309. The next prime is 1426792216327. The reversal of 1426792216320 is 236122976241.

1426792216320 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 7 + 9 + 2 + 2 + 1 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426792216327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 379363240 + ... + 379367000.

It is an arithmetic number, because the mean of its divisors is an integer number (14189101542).

Almost surely, 2^{1426792216320} is an apocalyptic number.

1426792216320 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 1426792216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2554038277560).

1426792216320 is an abundant number, since it is smaller than the sum of its proper divisors (3681284338800).

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

1426792216320 is an equidigital number, since it uses as much as digits as its factorization.

1426792216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7453 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 1426792216320 in words is "one trillion, four hundred twenty-six billion, seven hundred ninety-two million, two hundred sixteen thousand, three hundred twenty".