1600421979744 has 864 divisors, whose sum is σ = 5752660193280. Its totient is φ = 419406833664.

The previous prime is 1600421979743. The next prime is 1600421979833. The reversal of 1600421979744 is 4479791240061.

1600421979744 is a `hidden beast` number, since 1 + 6 + 0 + 0 + 421 + 97 + 97 + 44 = 666.

It is a super-2 number, since 2×1600421979744² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1600421979743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1464246462 + ... + 1464247554.

It is an arithmetic number, because the mean of its divisors is an integer number (6658171520).

Almost surely, 2^{1600421979744} is an apocalyptic number.

1600421979744 is a gapful number since it is divisible by the number (14) 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 1600421979744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876330096640).

1600421979744 is an abundant number, since it is smaller than the sum of its proper divisors (4152238213536).

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

1600421979744 is a wasteful number, since it uses less digits than its factorization.

1600421979744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1600421979744 in words is "one trillion, six hundred billion, four hundred twenty-one million, nine hundred seventy-nine thousand, seven hundred forty-four".