4783340390400 has 1152 divisors, whose sum is σ = 20642597539200. Its totient is φ = 1070353612800.

The previous prime is 4783340390377. The next prime is 4783340390419. The reversal of 4783340390400 is 40930433874.

4783340390400 is a `hidden beast` number, since 47 + 83 + 3 + 40 + 3 + 90 + 400 = 666.

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

It is a super-3 number, since 3×4783340390400³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197671102 + ... + 197695298.

It is an arithmetic number, because the mean of its divisors is an integer number (17918921475).

Almost surely, 2^{4783340390400} is an apocalyptic number.

4783340390400 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 4783340390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10321298769600).

4783340390400 is an abundant number, since it is smaller than the sum of its proper divisors (15859257148800).

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

4783340390400 is a wasteful number, since it uses less digits than its factorization.

4783340390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24262 (or 24231 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4783340390400 in words is "four trillion, seven hundred eighty-three billion, three hundred forty million, three hundred ninety thousand, four hundred".