1602067424256 has 440 divisors, whose sum is σ = 5193104716800. Its totient is φ = 489020571648.

The previous prime is 1602067424189. The next prime is 1602067424257. The reversal of 1602067424256 is 6524247602061.

1602067424256 is a `hidden beast` number, since 16 + 0 + 206 + 7 + 4 + 2 + 425 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1602067424257) 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, 136934695 + ... + 136946393.

It is an arithmetic number, because the mean of its divisors is an integer number (11802510720).

Almost surely, 2^{1602067424256} is an apocalyptic number.

1602067424256 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 1602067424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596552358400).

1602067424256 is an abundant number, since it is smaller than the sum of its proper divisors (3591037292544).

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

1602067424256 is a wasteful number, since it uses less digits than its factorization.

1602067424256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11871 (or 11844 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1602067424256 in words is "one trillion, six hundred two billion, sixty-seven million, four hundred twenty-four thousand, two hundred fifty-six".