4629804480000 has 4000 divisors, whose sum is σ = 22273810099200. Its totient is φ = 931627008000.

The previous prime is 4629804479999. The next prime is 4629804480023. The reversal of 4629804480000 is 844089264.

It is a tau number, because it is divible by the number of its divisors (4000).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 58605119961 + ... + 58605120039.

Almost surely, 2^{4629804480000} is an apocalyptic number.

4629804480000 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 4629804480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11136905049600).

4629804480000 is an abundant number, since it is smaller than the sum of its proper divisors (17644005619200).

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

4629804480000 is an equidigital number, since it uses as much as digits as its factorization.

4629804480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 4629804480000 in words is "four trillion, six hundred twenty-nine billion, eight hundred four million, four hundred eighty thousand".