1628661830400 has 1296 divisors, whose sum is σ = 6602719398912. Its totient is φ = 379441152000.

The previous prime is 1628661830399. The next prime is 1628661830501. The reversal of 1628661830400 is 40381668261.

1628661830400 is a `hidden beast` number, since 1 + 6 + 2 + 8 + 66 + 183 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5558572654 + ... + 5558572946.

Almost surely, 2^{1628661830400} is an apocalyptic number.

1628661830400 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 1628661830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3301359699456).

1628661830400 is an abundant number, since it is smaller than the sum of its proper divisors (4974057568512).

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

1628661830400 is a wasteful number, since it uses less digits than its factorization.

1628661830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 628 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 1628661830400 in words is "one trillion, six hundred twenty-eight billion, six hundred sixty-one million, eight hundred thirty thousand, four hundred".