4284408608400 has 120 divisors (see below), whose sum is σ = 13725545695360. Its totient is φ = 1142412664320.

The previous prime is 4284408608399. The next prime is 4284408608401. The reversal of 4284408608400 is 48068044824.

4284408608400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4284408608399) and next prime (4284408608401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4284408608400.

It is not an unprimeable number, because it can be changed into a prime (4284408608401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14703321 + ... + 14991879.

Almost surely, 2^{4284408608400} is an apocalyptic number.

4284408608400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4284408608400 is an abundant number, since it is smaller than the sum of its proper divisors (9441137086960).

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

4284408608400 is a wasteful number, since it uses less digits than its factorization.

4284408608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300953 (or 300942 counting only the distinct ones).

The product of its (nonzero) digits is 1572864, while the sum is 48.

The spelling of 4284408608400 in words is "four trillion, two hundred eighty-four billion, four hundred eight million, six hundred eight thousand, four hundred".