1420806609216 has 280 divisors, whose sum is σ = 4294995239304. Its totient is φ = 464253603840.

The previous prime is 1420806609193. The next prime is 1420806609251. The reversal of 1420806609216 is 6129066080241.

1420806609216 is a `hidden beast` number, since 1 + 4 + 20 + 8 + 0 + 6 + 609 + 2 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 365173655616 + 1055632953600 = 604296^2 + 1027440^2 .

It is a super-2 number, since 2×1420806609216² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 542084386 + ... + 542087006.

Almost surely, 2^{1420806609216} is an apocalyptic number.

1420806609216 is a gapful number since it is divisible by the number (16) 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 1420806609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147497619652).

1420806609216 is an abundant number, since it is smaller than the sum of its proper divisors (2874188630088).

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

1420806609216 is a wasteful number, since it uses less digits than its factorization.

1420806609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4652 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1420806609216 in words is "one trillion, four hundred twenty billion, eight hundred six million, six hundred nine thousand, two hundred sixteen".