4787294400000 has 1440 divisors, whose sum is σ = 20479149250560. Its totient is φ = 1093616640000.

The previous prime is 4787294399969. The next prime is 4787294400121. The reversal of 4787294400000 is 44927874.

It is a tau number, because it is divible by the number of its divisors (1440).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2721599121 + ... + 2721600879.

It is an arithmetic number, because the mean of its divisors is an integer number (14221631424).

Almost surely, 2^{4787294400000} is an apocalyptic number.

4787294400000 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 4787294400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10239574625280).

4787294400000 is an abundant number, since it is smaller than the sum of its proper divisors (15691854850560).

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

4787294400000 is an frugal number, since it uses more digits than its factorization.

4787294400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1824 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 4787294400000 in words is "four trillion, seven hundred eighty-seven billion, two hundred ninety-four million, four hundred thousand".