4628190441600 has 1152 divisors, whose sum is σ = 18783797760000. Its totient is φ = 1115936870400.

The previous prime is 4628190441569. The next prime is 4628190441613. The reversal of 4628190441600 is 61440918264.

4628190441600 is a `hidden beast` number, since 4 + 6 + 28 + 19 + 0 + 4 + 4 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

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, 1702165041 + ... + 1702167759.

It is an arithmetic number, because the mean of its divisors is an integer number (16305380000).

Almost surely, 2^{4628190441600} is an apocalyptic number.

4628190441600 is a gapful number since it is divisible by the number (40) 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 4628190441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9391898880000).

4628190441600 is an abundant number, since it is smaller than the sum of its proper divisors (14155607318400).

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

4628190441600 is a wasteful number, since it uses less digits than its factorization.

4628190441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968 (or 2939 counting only the distinct ones).

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

The spelling of 4628190441600 in words is "four trillion, six hundred twenty-eight billion, one hundred ninety million, four hundred forty-one thousand, six hundred".