1426010780160 has 720 divisors, whose sum is σ = 5218910611200. Its totient is φ = 373564514304.

The previous prime is 1426010780153. The next prime is 1426010780191. The reversal of 1426010780160 is 610870106241.

It is a happy number.

1426010780160 is a `hidden beast` number, since 1 + 42 + 601 + 0 + 7 + 8 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 990972721 + ... + 990974159.

It is an arithmetic number, because the mean of its divisors is an integer number (7248486960).

Almost surely, 2^{1426010780160} is an apocalyptic number.

1426010780160 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 1426010780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2609455305600).

1426010780160 is an abundant number, since it is smaller than the sum of its proper divisors (3792899831040).

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

1426010780160 is an frugal number, since it uses more digits than its factorization.

1426010780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1426010780160 in words is "one trillion, four hundred twenty-six billion, ten million, seven hundred eighty thousand, one hundred sixty".