4770034724400 has 240 divisors, whose sum is σ = 16713102495360. Its totient is φ = 1153319731200.

The previous prime is 4770034724383. The next prime is 4770034724447. The reversal of 4770034724400 is 44274300774.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4526064 + ... + 5479536.

It is an arithmetic number, because the mean of its divisors is an integer number (69637927064).

Almost surely, 2^{4770034724400} is an apocalyptic number.

4770034724400 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 4770034724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356551247680).

4770034724400 is an abundant number, since it is smaller than the sum of its proper divisors (11943067770960).

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

4770034724400 is a wasteful number, since it uses less digits than its factorization.

4770034724400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953884 (or 953873 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 42.

The spelling of 4770034724400 in words is "four trillion, seven hundred seventy billion, thirty-four million, seven hundred twenty-four thousand, four hundred".