4729808401920 has 1200 divisors, whose sum is σ = 19913812934400. Its totient is φ = 1069730758656.

The previous prime is 4729808401919. The next prime is 4729808402027. The reversal of 4729808401920 is 291048089274.

4729808401920 is a `hidden beast` number, since 4 + 72 + 9 + 80 + 8 + 401 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 985579681 + ... + 985584479.

It is an arithmetic number, because the mean of its divisors is an integer number (16594844112).

Almost surely, 2^{4729808401920} is an apocalyptic number.

4729808401920 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 4729808401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9956906467200).

4729808401920 is an abundant number, since it is smaller than the sum of its proper divisors (15184004532480).

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

4729808401920 is an equidigital number, since it uses as much as digits as its factorization.

4729808401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4913 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 4729808401920 in words is "four trillion, seven hundred twenty-nine billion, eight hundred eight million, four hundred one thousand, nine hundred twenty".