1602628416000 has 1600 divisors, whose sum is σ = 6423327630720. Its totient is φ = 395941478400.

The previous prime is 1602628415959. The next prime is 1602628416013. The reversal of 1602628416000 is 6148262061.

1602628416000 is a `hidden beast` number, since 1 + 6 + 0 + 2 + 6 + 2 + 8 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

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 159 ways as a sum of consecutive naturals, for example, 5220287847 + ... + 5220288153.

Almost surely, 2^{1602628416000} is an apocalyptic number.

1602628416000 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 1602628416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3211663815360).

1602628416000 is an abundant number, since it is smaller than the sum of its proper divisors (4820699214720).

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

1602628416000 is an equidigital number, since it uses as much as digits as its factorization.

1602628416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1602628416000 in words is "one trillion, six hundred two billion, six hundred twenty-eight million, four hundred sixteen thousand".