4284380390400 has 1056 divisors, whose sum is σ = 17309323263360. Its totient is φ = 1038414643200.

The previous prime is 4284380390377. The next prime is 4284380390431. The reversal of 4284380390400 is 40930834824.

4284380390400 is a `hidden beast` number, since 4 + 2 + 84 + 3 + 80 + 3 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 919984872 + ... + 919989528.

Almost surely, 2^{4284380390400} is an apocalyptic number.

4284380390400 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 4284380390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8654661631680).

4284380390400 is an abundant number, since it is smaller than the sum of its proper divisors (13024942872960).

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

4284380390400 is a wasteful number, since it uses less digits than its factorization.

4284380390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4729 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4284380390400 in words is "four trillion, two hundred eighty-four billion, three hundred eighty million, three hundred ninety thousand, four hundred".